Question

A scale drawing of a kitchen is shown below. The scale is 1 : 20.

A rectangle is shown. The length of the rectangle is labeled 4 inches. The width of the rectangle is labeled 5 inches.

Show your work to determine the area of the room in square feet.

Answer 1

Will you be posting a graphic?

Answer 2

Okay, we don't need a graphic.

Answer 3

Multiply both dimensions by 20 and do the rectangle area formula

Answer 4

Then convert your answer to feet

Answer 5

4*20=80 and 5*20 = 100

Answer 6

@Kinged

Answer 7

Image is 4 inches by 5 inches
= .3333333 by 0.416666 feet
We have to increase these by 20 so
.3333333 * 20 by 0.416666 * 20 feet =
6.6666666667 feet by 8.3333333333 feet
I think you can calculate the area now.

Answer 8

What's even easier wold be converting the dimensions to feet before doing the formula.

Answer 9

Kinged which I did about 2 seconds ago

Answer 10

I don't understand

Answer 11

Which part?

Answer 12

So I multiplied the sides by 20 Then I convert

Answer 13

Yep. That's also right.

Answer 14

So wolf converted it for me what do I do next?

Answer 15

@Kinged @wolf1728

Answer 16

@Kinged

Answer 17

Do the rectangle formula.

Answer 18

What are they?

Answer 19

What do we have to do to calculate the formula?

Answer 20

area = length times width

Answer 21

What do we have to do to calculate the formula?

Answer 22

What is the width and what is the length?

Answer 23

So 4*5=20

Answer 24

That is the area of the image

Answer 25

Ok

Answer 26

I don't know how to calculate the formula

Answer 27

I gave you the dimensions in feet
6.6666666667 feet by 8.3333333333 feet

Answer 28

So 55.555556

Answer 29

Yes that is it!!

Answer 30

Now here's an answer I've been working on for a while.

I think the "tricky" part of this question is the conversion from square inches to square feet

For example, you could say the image is 5 by 4 inches.
Image area is 20 square inches. (correct)
Now here's the "tricky part: You then increase it by 20 and assume that the actual size is 400 square inches, which it is incorrect.

Since we are dealing with area, we have to increase our answer by a factor of 20 TIMES 20.
So, our answer is 20 square inches * 20 TIMES 20 = 8,000 square inches

There are 12 inches per foot and
12 TIMES 12 square inches per square foot or
144 square inches per square foot

So, 8000 square inches divided by 144 = 55.5555555556 square feet

Answer 31

Are we done?

Answer 32

Yes we are done.
I posted that long explanation for other folks that might look at this problem.

Answer 33

That's the best question ever, baby.

Answer 34

You can go play, now.

Answer 35

Thanks Guys

Answer 36

u r welcome

Answer 37

Thanks Guys