Question

A scale drawing of a bedroom is shown below. The scale is 1 : 30. A rectangle is shown. The length of the rectangle is labeled 3 inches. The width of the rectangle is labeled 4 inches.
Show your work to determine the area of the room in square feet.

Answer 1

Here, scale is 1 : 30
We have length of scale = 3 in. 
So, length of the room is 30 * 3 = 90 inch.

In the same manner, width of room = 30 * 4 = 120 in.

Now, Area = Length * Width
A = 90 * 120
A = 10800 In² 
A = 10800 / 144 Ft²   [ As 1 Ft² = 144 In² ]

In short, Your Answer would be  75 Ft²

Hope this helps!

Answer 2

Answer:

75 square feet.

Step-by-step explanation:

So all you're going to do is simply cross multiply.

1/30 = 4/x (we put x because we don't know what number goes there)

SO 1 x X = x=                  4x 30+ 120 so, x=120 in.

Now we do the same to the other one.

1/30 = 3/x

1 x x = x=                  3x 30 = 90 so, x=90 in.

Wait, we are not done yet. It also says to find the area of the room in sq ft.

We need to convert these numbers into feet. So divide 12 by the numbers.

90/ 12 = 7.5    120/12 = 10 Now, we can multiply to get the square feet.

7.5 x 10 = 75 square feet.