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(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.

0501 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 class=

Respuesta :

mhanifa

Answer:

  • 500/9 or 55.56 ft²

Step-by-step 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)
semsee45

Answer:

5.56 ft² (nearest hundredth)

Step-by-step 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)

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