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

Answer: 75 feet²

Step-by-step explanation:

     The scale means that for every one unit in the scale drawing, it is 30 units in the actual room. We will convert the dimensions using proportions.

$\frac{1}{3} =\frac{30}{x}$

x = 90

-

$\frac{1}{4} =\frac{30}{x}$

x = 120

   The area of a rectangle can be found by multiplying the length by the width:

A = L * W

A = 90 * 120

A = 10,800 inches²

 To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.

10,800 inches² / 144 = 75 feet²

           The area of the room, in square feet, is 75 feet².