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Math Problems
Grade 8
Area and perimeter: word problems
A square piece of carpet has sides that are
3
feet
3\,\text{feet}
3
feet
long. What is the carpet's perimeter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
feet
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A square piece of tissue paper has sides that are
42
centimeters
42\,\text{centimeters}
42
centimeters
long. What is the tissue paper's perimeter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
centimeters
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A soccer field is
58
meters
58\,\text{meters}
58
meters
wide and
108
meters
108\,\text{meters}
108
meters
long. What is its perimeter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
meters
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A square patch of grass has a perimeter of
16
meters
16\,\text{meters}
16
meters
. How long is each side?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
meters
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A cube has a volume of
1
1
1
cubic unit. What is the perimeter of one of its faces?
\newline
____ units
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The area of a rectangular portrait is
18
18
18
square feet. The portrait is
3
3
3
feet wide. How high is it?
\newline
\newline
_
_
_
_
\_\_\_\_
____
feet
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Each side of a square name tag is
10
centimeters
10\,\text{centimeters}
10
centimeters
long. What is the name tag's area?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
square centimeters
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The perimeter of a rectangular jewelry store is
208
208
208
feet. The store is
67
67
67
feet long. How wide is it?
\newline
\newline
_
_
_
_
\_\_\_\_
____
feet
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A rectangular parking lot is
79
meters
79\,\text{meters}
79
meters
wide and
114
meters
114\,\text{meters}
114
meters
long. What is its perimeter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
meters
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A beach volleyball court is
9
9
9
meters wide and
18
18
18
meters long. The rope used for the boundary line costs
$
1.69
\$1.69
$1.69
per meter. How much would it cost to buy a new boundary line for the court?
\newline
$
\$
$
_____
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A rectangular tent is
8
8
8
feet long and
5
5
5
feet wide. What is its area?
\newline
_
_
_
_
\_\_\_\_
____
square feet
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Isabella cares for an aquarium that is
6
6
6
feet long and has a height of
4
4
4
feet. The aquarium needs
72
72
72
cubic feet of water to be completely filled. What is the width of the aquarium?
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An open-topped glass aquarium with a square base is designed to hold
62
62
62
.
5
5
5
cubic feet of water. What is the minimum possible exterior surface area of the aquarium?
\newline
square feet
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Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of
33
33
33
and a width of
7
1
2
7 \frac{1}{2}
7
2
1
. What is the height of this painting?
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Each side of a square office is
7
7
7
yards long. It will cost
$
27.00
\$27.00
$27.00
per square yard to replace the carpet in the office. What would be the total cost to replace the carpet?
\newline
$
\$
$
_____
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A closet in Sofia's house is
1
1
1
yard by
1
1
1
yard. How much would it cost to put a new floor in the closet if the flooring costs
$
52.30
\$52.30
$52.30
per square yard?
\newline
$
\$
$
_____
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A square window has a perimeter of
76
76
76
inches. How long is each side?
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A square sticky note has an area of
49
square centimeters
49\,\text{square centimeters}
49
square centimeters
. How long is each side?
\newline
_
_
_
_
\_\_\_\_
____
centimeters
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Eva's living room is
6
meters
6\,\text{meters}
6
meters
wide and
7
meters
7\,\text{meters}
7
meters
long. She wants to install yellow carpet that costs
$
7.34
\$7.34
$7.34
per square meter. How much will it cost to buy enough carpet for the living room?
\newline
$
\$
$
_
_
_
_
\_\_\_\_
____
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The perimeter of a square coffee shop is
56
56
56
meters. How long is each side of the coffee shop?
\newline
_____ meters
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A bedroom door is
3
3
3
feet wide and
8
8
8
feet tall. What is its area?
\newline
\newline
_
_
_
_
\_\_\_\_
____
square feet
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The area of the surface of a rectangular table is
10
10
10
square feet. It is
2
2
2
feet wide. How long is it?
\newline
_
_
_
\_\_\_
___
feet
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A square piece of tissue paper has sides that are
4
centimeters
4\,\text{centimeters}
4
centimeters
long. What is the tissue paper's perimeter?
\newline
_
_
_
_
_
_
\_\_\_\_\_\_
______
centimeters
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Brian's backyard deck cost
$
101.46
\$101.46
$101.46
per square meter to build. The deck is
8
8
8
meters wide and
10
10
10
meters long. How much did it cost to build the deck?
\newline
$
\$
$
_
_
_
_
_
\_\_\_\_\_
_____
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A rectangular portrait is
1
1
1
meter wide and
1
1
1
meter high. It costs
$
25.00
\$25.00
$25.00
per meter to put a gold frame around the portrait. How much will the frame cost?
\newline
$
\$
$
_____
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The area of a rectangular bathroom mirror is
20
20
20
square feet. The perimeter is
24
24
24
feet. What are the dimensions of the mirror?
\newline
_
_
_
\_\_\_
___
feet by
_
_
_
\_\_\_
___
feet
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Reba's dining room is
5
meters
5\,\text{meters}
5
meters
wide and
7
meters
7\,\text{meters}
7
meters
long. Reba wants to install a new wood floor. It will cost
$
3.12
\$3.12
$3.12
per square meter. How much will Reba's new floor cost?
\newline
$
_
_
_
\$\_\_\_
$___
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The area of a rectangular piece of metal is
36
square centimeters
36\,\text{square centimeters}
36
square centimeters
. The perimeter is
26
centimeters
26\,\text{centimeters}
26
centimeters
. What are the dimensions of the piece?
\newline
_
_
_
_
\_\_\_\_
____
centimeters by
_
_
_
_
\_\_\_\_
____
centimeters
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Alan's living room is
5
5
5
meters wide and
7
7
7
meters long. He wants to install yellow carpet that costs
$
3.33
\$3.33
$3.33
per square meter. How much will it cost to buy enough carpet for the living room?
\newline
$
\$
$
_____
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A rectangular front porch has an area of
60
60
60
square feet. Its perimeter is
32
32
32
feet. What are the dimensions of the porch?
\newline
_
_
_
\_\_\_
___
feet by
_
_
_
\_\_\_
___
feet
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A bakery is
11
11
11
meters wide and
18
18
18
meters long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs
$
3.00
\$3.00
$3.00
per meter. How much will the baker's shelf cost?
\newline
$
\$
$
_
_
_
_
\_\_\_\_
____
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A rectangular bathroom mirror has an area of
27
27
27
square feet and a perimeter of
24
24
24
feet. What are the dimensions of the mirror?
\newline
_
_
_
\_\_\_
___
feet by
_
_
_
\_\_\_
___
feet
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A rectangular portrait is
4
4
4
feet wide and
7
7
7
feet high. It costs
$
7.87
\$7.87
$7.87
per foot to put a gold frame around the portrait. How much will the frame cost?
\newline
$
\$
$
_____
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Warren has a tent that is
7
7
7
feet wide by
13
13
13
feet long. Warren wants to buy a plastic tarp to go under the tent. The tarps are sold for
$
2.00
\$2.00
$2.00
per square foot. How much would it cost to buy a tarp that is the same size as Warren's tent?
\newline
$
\$
$
_____
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The perimeter of a chalkboard is
18
18
18
feet. The area is
18
18
18
square feet. What are the dimensions of the board?
\newline
_
_
_
\_\_\_
___
feet by
_
_
_
\_\_\_
___
feet
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Each side of a square newspaper ad is
20
centimeters
20\,\text{centimeters}
20
centimeters
long. What is the newspaper ad's perimeter?
\newline
_
_
_
_
_
_
\_\_\_\_\_\_
______
centimeters
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The perimeter of a rectangular shop in the mall is
32
32
32
meters. The area is
60
60
60
square meters. What are the dimensions of the shop?
\newline
_
_
_
\_\_\_
___
meters by
_
_
_
\_\_\_
___
meters
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The perimeter of a square piece of tissue paper is
36
36
36
centimeters. How long is each side of the tissue paper?
\newline
_____ centimeters
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The area of a square platter is
64
square inches
64 \, \text{square inches}
64
square inches
. How long is each side of the platter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
inches
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Jeanette's backyard deck cost
$
22.00
\$22.00
$22.00
per square meter to build. The deck is
8
8
8
meters wide and
11
11
11
meters long. How much did it cost to build the deck?
\newline
$
\$
$
_____
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A photograph is
4
4
4
inches by
8
8
8
inches. A frame shop charges
$
4.99
\$4.99
$4.99
per inch for a silver frame. How much would it cost to buy a silver frame for the photograph?
\newline
$
\$
$
_____
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The area of a rectangular goat pen is
54
square meters
54 \, \text{square meters}
54
square meters
. The perimeter is
30
meters
30 \, \text{meters}
30
meters
. What are the dimensions of the pen?
\newline
_
_
_
_
\_\_\_\_
____
meters by
_
_
_
_
\_\_\_\_
____
meters
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A square plastic tarp has a perimeter of
32
32
32
meters. How long is each side of the tarp?
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A square newspaper ad has an area of
64
square centimeters
64\,\text{square centimeters}
64
square centimeters
. How long is each side of the newspaper ad?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
centimeters
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A square bedroom has an area of
81
square feet
81\,\text{square feet}
81
square feet
. How long is each side of the bedroom?
\newline
_
_
_
_
\_\_\_\_
____
feet
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A square playpen has sides that are
2
2
2
feet long. What is the playpen's perimeter?
\newline
_
_
_
_
\_\_\_\_
____
feet
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It cost Bentley
$
8.10
\$ 8.10
$8.10
to send
162
162
162
text messages. How much does each text cost to send?
\newline
Answer:
$
□
\$ \square
$
□
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A square with an area of
134
134
134
units
2
^{2}
2
is dilated by a scale factor of
2
2
2
. Find the area of the square after dilation. Round your answer to the nearest tenth, if necessary.
\newline
Answer:
u
2
2
u^{2}{ }^{2}
u
2
2
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