Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Area and perimeter: word problems
A poster has a perimeter of
16
16
16
feet and an area of
15
15
15
square feet. What are the dimensions of the poster?
\newline
_
_
_
_
\_\_\_\_
____
feet by
_
_
_
_
\_\_\_\_
____
feet
Get tutor help
The area of a square name tag is
25
square centimeters
25\,\text{square centimeters}
25
square centimeters
. How long is each side?
\newline
_
_
_
_
\_\_\_\_
____
centimeters
Get tutor help
A rectangular sticker has an area of
28
square centimeters
28\,\text{square centimeters}
28
square centimeters
and a perimeter of
22
centimeters
22\,\text{centimeters}
22
centimeters
. What are the dimensions of the sticker?
\newline
_
_
_
_
\_\_\_\_
____
centimeters by
_
_
_
_
\_\_\_\_
____
centimeters
Get tutor help
An envelope has an area of
50
50
50
square inches and a perimeter of
30
30
30
inches. What are the dimensions of the envelope?
\newline
_
_
_
\_\_\_
___
inches by
_
_
_
\_\_\_
___
inches
Get tutor help
A rectangular painting is
6
6
6
feet wide and
6
6
6
feet high. What is its area?
\newline
_
_
_
_
\_\_\_\_
____
square feet
Get tutor help
A rectangular sticker has a perimeter of
26
26
26
centimeters. Its area is
36
36
36
square centimeters. What are the dimensions of the sticker?
\newline
_
_
_
\_\_\_
___
centimeters by
_
_
_
\_\_\_
___
centimeters
Get tutor help
A rectangular red sticker has an area of
18
square millimeters
18 \, \text{square millimeters}
18
square millimeters
and a perimeter of
18
millimeters
18 \, \text{millimeters}
18
millimeters
. What are the dimensions of the sticker?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
millimeters by
_
_
_
_
_
\_\_\_\_\_
_____
millimeters
Get tutor help
A square calendar has a perimeter of
40
40
40
inches. How long is each side of the calendar?
\newline
_
_
_
_
\_\_\_\_
____
inches
Get tutor help
The area of a rectangular shelf is
40
40
40
square inches. The shelf is
4
4
4
inches deep. How wide is it?
\newline
\newline
_
_
_
_
\_\_\_\_
____
inches
Get tutor help
The area of the surface of a workbook is
80
80
80
square inches. It is
10
10
10
inches tall. How wide is it?
\newline
_
_
_
_
\_\_\_\_
____
inches
Get tutor help
The area of a square notepad is
100
square centimeters
100\,\text{square centimeters}
100
square centimeters
. How long is each side of the notepad?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
centimeters
Get tutor help
The area of a rectangular ink pad is
40
square centimeters
40\,\text{square centimeters}
40
square centimeters
. The perimeter is
26
centimeters
26\,\text{centimeters}
26
centimeters
. What are the dimensions of the ink pad?
\newline
_
_
_
_
\_\_\_\_
____
centimeters by
_
_
_
_
\_\_\_\_
____
centimeters
Get tutor help
The area of a rectangular garage is
30
square meters
30 \, \text{square meters}
30
square meters
. The perimeter is
22
meters
22 \, \text{meters}
22
meters
. What are the dimensions of the garage?
\newline
_
_
_
_
\_\_\_\_
____
meters by
_
_
_
_
\_\_\_\_
____
meters
Get tutor help
Each side of a square chess board is
18
18
18
inches long. What is the board's perimeter?
\newline
_
_
_
_
\_\_\_\_
____
inches
Get tutor help
A chalkboard has a perimeter of
16
feet
16\,\text{feet}
16
feet
. Its area is
15
square feet
15\,\text{square feet}
15
square feet
. What are the dimensions of the board?
\newline
_
_
_
_
\_\_\_\_
____
feet by
_
_
_
_
\_\_\_\_
____
feet
Get tutor help
A rectangular rug has an area of
21
square feet
21 \, \text{square feet}
21
square feet
. Its perimeter is
20
feet
20 \, \text{feet}
20
feet
. What are the dimensions of the rug?
\newline
_
_
_
_
\_\_\_\_
____
feet by
_
_
_
_
\_\_\_\_
____
feet
Get tutor help
The perimeter of an airplane ticket is
34
34
34
centimeters. The area is
70
70
70
square centimeters. What are the dimensions of the ticket?
\newline
_
_
_
\_\_\_
___
centimeters by
_
_
_
\_\_\_
___
centimeters
Get tutor help
A bedroom door has a perimeter of
28
28
28
feet and an area of
40
40
40
square feet. What are the dimensions of the door?
\newline
_
_
_
\_\_\_
___
feet by
_
_
_
\_\_\_
___
feet
Get tutor help
Belle's dining room is
4
4
4
yards wide and
9
9
9
yards long. Belle wants to install a new wood floor. It will cost
$
5.00
\$5.00
$5.00
per square yard. How much will Belle's new floor cost?
\newline
$
\$
$
_____
Get tutor help
A photograph is
12
centimeters
12\,\text{centimeters}
12
centimeters
by
15
centimeters
15\,\text{centimeters}
15
centimeters
. A frame shop charges
$
0.98
\$0.98
$0.98
per centimeter for a silver frame. How much would it cost to buy a silver frame for the photograph?
\newline
$
_
_
_
\$\_\_\_
$___
Get tutor help
The perimeter of an envelope is
28
28
28
inches. The area is
40
40
40
square inches. What are the dimensions of the envelope?
\newline
_
_
_
_
\_\_\_\_
____
inches by
_
_
_
_
\_\_\_\_
____
inches
Get tutor help
The area of a photograph is
40
40
40
square inches. The perimeter is
26
26
26
inches. What are the dimensions of the photograph?
\newline
_
_
_
\_\_\_
___
inches by
_
_
_
\_\_\_
___
inches
Get tutor help
A square bedroom has an area of
100
square feet
100\,\text{square feet}
100
square feet
. How long is each side?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
feet
Get tutor help
The perimeter of a playing card is
30
30
30
centimeters. The area is
54
54
54
square centimeters. What are the dimensions of the playing card?
\newline
_
_
_
\_\_\_
___
centimeters by
_
_
_
\_\_\_
___
centimeters
Get tutor help
The area of a rectangular vegetable patch is
27
square meters
27\,\text{square meters}
27
square meters
. The vegetable patch is
9
meters
9\,\text{meters}
9
meters
long. How wide is it?
\newline
_
_
_
_
\_\_\_\_
____
meters
Get tutor help
The area of a bedroom door is
27
27
27
square feet. It is
9
9
9
feet tall. How wide is it?
\newline
_
_
_
_
\_\_\_\_
____
feet
Get tutor help
The area of a rectangular piece of plastic is
90
square millimeters
90\,\text{square millimeters}
90
square millimeters
. The piece of plastic is
10
millimeters
10\,\text{millimeters}
10
millimeters
wide. How tall is it?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
millimeters
Get tutor help
The area of a rectangular ink pad is
48
square centimeters
48\,\text{square centimeters}
48
square centimeters
. The perimeter is
28
centimeters
28\,\text{centimeters}
28
centimeters
. What are the dimensions of the ink pad?
\newline
_
_
_
_
\_\_\_\_
____
centimeters by
_
_
_
_
\_\_\_\_
____
centimeters
Get tutor help
The area of a rectangular cutting board is
80
80
80
square inches. The perimeter is
36
36
36
inches. What are the dimensions of the cutting board?
\newline
_
_
_
\_\_\_
___
inches by
_
_
_
\_\_\_
___
inches
Get tutor help
The area of a rectangular dining room is
49
square meters
49\,\text{square meters}
49
square meters
. It is
7
meters
7\,\text{meters}
7
meters
wide. How long is it?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
meters
Get tutor help
A square courtyard has sides that are
10
10
10
feet long. What is the courtyard's area?
\newline
_
_
_
_
\_\_\_\_
____
square feet
Get tutor help
A triangle has side lengths of
(
3.6
d
−
7.8
f
)
(3.6 d-7.8 f)
(
3.6
d
−
7.8
f
)
centimeters,
(
8.2
d
+
7.9
g
)
(8.2 d+7.9 g)
(
8.2
d
+
7.9
g
)
centimeters, and
(
7.7
g
+
1.6
f
)
(7.7 g+1.6 f)
(
7.7
g
+
1.6
f
)
centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
\newline
16.1
d
g
+
9.3
f
g
−
4.2
d
f
16.1 d g+9.3 f g-4.2 d f
16.1
d
g
+
9.3
f
g
−
4.2
df
\newline
−
6.2
f
+
11.8
d
+
15.6
g
-6.2 f+11.8 d+15.6 g
−
6.2
f
+
11.8
d
+
15.6
g
\newline
0.1
f
+
9.3
g
+
11.8
d
0.1 f+9.3 g+11.8 d
0.1
f
+
9.3
g
+
11.8
d
\newline
1.7
f
g
+
19.5
d
g
1.7 f g+19.5 d g
1.7
f
g
+
19.5
d
g
Get tutor help
A triangle has side lengths of
(
3.4
c
−
5.4
)
(3.4 c-5.4)
(
3.4
c
−
5.4
)
centimeters,
(
7.2
c
+
2.8
)
(7.2 c+2.8)
(
7.2
c
+
2.8
)
centimeters, and
(
9.4
d
+
8.6
)
(9.4 d+8.6)
(
9.4
d
+
8.6
)
centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
\newline
9.4
d
+
6
+
10.6
c
9.4 d+6+10.6 c
9.4
d
+
6
+
10.6
c
\newline
10
+
18
d
−
2
c
10+18 d-2 c
10
+
18
d
−
2
c
\newline
8
c
+
18
d
8 c+18 d
8
c
+
18
d
\newline
−
2.6
+
10.6
c
+
18
d
-2.6+10.6 c+18 d
−
2.6
+
10.6
c
+
18
d
Get tutor help
A triangle has side lengths of
(
7
w
+
9
)
(7 w+9)
(
7
w
+
9
)
centimeters,
(
5
w
+
8
)
(5 w+8)
(
5
w
+
8
)
centimeters, and
(
10
x
+
2
)
(10 x+2)
(
10
x
+
2
)
centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
\newline
12
w
+
19
+
10
x
12 w+19+10 x
12
w
+
19
+
10
x
\newline
12
x
+
29
w
12 x+29 w
12
x
+
29
w
\newline
13
+
16
w
+
12
x
13+16 w+12 x
13
+
16
w
+
12
x
\newline
12
w
+
17
+
12
x
12 w+17+12 x
12
w
+
17
+
12
x
Get tutor help
A triangle has side lengths of
(
4
c
+
10
d
)
(4 c+10 d)
(
4
c
+
10
d
)
centimeters,
(
c
−
5
f
)
(c-5 f)
(
c
−
5
f
)
centimeters, and
(
2
f
+
9
d
)
(2 f+9 d)
(
2
f
+
9
d
)
centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
\newline
19
d
−
3
f
+
5
c
19 d-3 f+5 c
19
d
−
3
f
+
5
c
\newline
14
d
f
+
7
c
f
14 d f+7 c f
14
df
+
7
c
f
\newline
4
f
+
12
d
+
5
c
4 f+12 d+5 c
4
f
+
12
d
+
5
c
\newline
11
d
f
+
14
c
d
−
4
c
f
11 d f+14 c d-4 c f
11
df
+
14
c
d
−
4
c
f
Get tutor help
To get from one term to the next in a sequence, we multiply by
2
2
2
and then add
4
4
4
.
\newline
The third term in the sequence is
40
40
40
.
\newline
What is the first term in the sequence?
Get tutor help
A shipping container in the shape of a rectangular prism has a base with an area of
42
42
42
square feet. The height of the container is
5
3
4
5\frac{3}{4}
5
4
3
feet. What is the volume, in cubic feet, of the shipping container?
Get tutor help
Gabriel is designing a rectangular planter box for their garden. It needs to cover an area of
15
1
2
m
2
15 \frac{1}{2} \text{ m}^2
15
2
1
m
2
. Gabriel wants it to be
7
3
4
7 \frac{3}{4}
7
4
3
long. How wide does the planter box need to be?
Get tutor help
Avery is designing a large rectangular sign. They want the sign to have an area of
2
m
2
2\,\text{m}^2
2
m
2
and a width of
4
5
m
\frac{4}{5}\,\text{m}
5
4
m
. How tall should the sign be?
Get tutor help
Sako's garden is
6
6
6
yards long. What is the length of his garden in feet?
Get tutor help
Polygon
D
D
D
is a scaled copy of Polygon
C
C
C
using a scale factor of
6
6
6
.
\newline
How many times as large is the area of Polygon
D
D
D
compared to the area Polygon
C
C
C
?
Get tutor help
A rectangular prism with length
ℓ
\ell
ℓ
, width
w
w
w
, and height
h
h
h
has a volume of
ℓ
w
h
\ell w h
ℓ
w
h
.
\newline
What is the volume of a prism which has a base of
5
m
5 \mathrm{~m}
5
m
by
3
m
3 \mathrm{~m}
3
m
, and a height of
4
m
4 \mathrm{~m}
4
m
?
\newline
m
3
\mathrm{m}^{3}
m
3
Get tutor help
A new dictionary in the shape of a rectangular prism will have a thickness of
3
3
3
inches (in). The volume of the dictionary will be
216
i
n
3
216 \mathrm{in}^{3}
216
in
3
. What must be the area of the front cover, a face perpendicular to the thickness, in square inches?
Get tutor help
A square window has a perimeter of \(136\) inches. How long is each side?
Get tutor help
Previous
1
2
