Question

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

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

Answer 1

5.56 ft² (nearest hundredth)

Explanation:

Given:

• width = 4 in
• length = 5 in

If the scale is 1 : 20, then to scale up, multiply the width and length by 20:

⇒ width = 4 × 20 = 80 in

⇒ length = 5 × 20 = 100 in

Area = width × length

= 80 × 100

= 800 in²

1 ft = 12 in

⇒ 1 ft² = 12² in² = 144 in²

Therefore, to find the area of the room in square feet, divide the area in inches by 144:

⇒ area = 800 ÷ 144

= 5.56 ft² (nearest hundredth)

Answer 2

• 500/9 or 55.56 ft²

Explanation:

Find the dimensions of the kitchen, convert to feet

• 5 in * 20 = 100 in = 100/12 ft = 25/3 ft
• 4 in * 20 = 80 in = 80/12 ft = 20/3 ft

The area is

• 25/3 * 20/3 = 500/9 = 55.56 ft² (rounded)