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Rectangle $\text{ }$ has an area of $\text{ }$ square units. Thea drew a scaled version of Rectangle $\text{ }$ and labeled it Rectangle $\text{ }$ . What scale factor did Thea use to go from Rectangle $\text{ }$ to Rectangle $\text{ }$ ?

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Grade 7

Scale drawings: scale factor word problems

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More problems from Scale drawings: scale factor word problems

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A scale on a blue print drawing of a house shows that

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\newline

What number of actual meters are represented by

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centimeters on the blue print?

\newline

meters

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The figure below shows a rope that circles the Earth. The radius of the Earth is

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kilometers.

\newline

Assuming the rope makes a perfect circle, what is the length of this rope?

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Give your answer in terms of pi.

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An artist is creating a large butterfly sculpture outside a museum. There is a circular dot on each wing made out of a metal ring. The distance around each dot is

24 \pi

inches. The artist plans to fill the inside of each dot with blue colored glass.

\newline

What is the area of the blue glass will be needed to fill each butterfly dot?

\newline

Give your answer in terms of pi.

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A=\square

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A park has a large circle painted in the middle of the playground area. The circle is divided into

4

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Give your answer in terms of pi.

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A=\square

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Question

A baker uses a coffee mug with a diameter of

8 \mathrm{~cm}

to cut out circular cookies from a big sheet of cookie dough.

\newline

What is the area

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Posted 7 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

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5

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7

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and then picking a

4

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Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

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and her balance at the end of three years,

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546.36 = 500(1 + r)

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Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$ 350

and her balance at the end of three years,

\$ 422.78

. At what rate r did Jeanne earn interest?

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422.78=350(1+r)^{3}

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Posted 1 month ago

Question

A leaky

10\text{-kg}

bucket is lifted from the ground to a height of

14\, \text{m}

at a constant speed with a rope that weighs

0.6\, \text{kg/m}

. Initially the bucket contains

42\, \text{kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\, \text{m}

level. How much work is done? (Use

9.8\, \text{m/s}^2

for

g

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\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

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Posted 1 month ago

Question

A leaky

10-\mathrm{kg}

bucket is lifted from the ground to a height of

14

m at a constant speed with a rope that weighs

0.6 \mathrm{~kg} / \mathrm{m}

. Initially the bucket contains

42

kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14-\mathrm{m}

level. How much work is done? (Use

9.8 \mathrm{~m} / \mathrm{s}^{2}

for g .)

\newline

Show how to approximate the required work (in J) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_{i}^{* *}

x_{i}

)

\newline

\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(\boxed{98+35.28 x_{i}}\right) \Delta x

\newline

Express the work (in J) as an integral in terms of

x

(in m).

\newline

\int_{0}^{14}(98+35.28 x

\newline

Evaluate the integral (in J). (Round your answer to the nearest integer.)

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Posted 1 month ago

View all (2)

Rectangle \text{ } has an area of \text{ } square units. Thea drew a scaled version of Rectangle \text{ } and labeled it Rectangle \text{ } . What scale factor did Thea use to go from Rectangle \text{ } to Rectangle \text{ } ?

Rectangle $\text{ }$ has an area of $\text{ }$ square units. Thea drew a scaled version of Rectangle $\text{ }$ and labeled it Rectangle $\text{ }$ . What scale factor did Thea use to go from Rectangle $\text{ }$ to Rectangle $\text{ }$ ?