Question

A plan for a dog house has a scale of 4 inches = 1 foot. The plan shows the measurements of the dog house floor as 16 inches by 10 inches. Which is the actual area of the dog house floor to the nearest tenth inch?

Answer 1

10.0 square feet

Explanation:

The ratio is 4 inches = 1 foot

The area of the house is 16 x 10 inches

divide by 4

The area of the actual house is 4 x 2.5 feet

4 x 2.5 feet = 10.0 square feet

Answer 2

The actual area of the dog house floor is 1,440 in²

Explanation:

step 1

Find the actual dimensions of the house floor

The scale is equal to

4 in/ft

Divide the dimensions of the plan by the scale

16 in=16/4=4 ft

10 in=10/4=2.5 ft

step 2

Convert ft to in

Remember that

1 ft=12 in

so

4 ft=4*12=48 in

2.5 ft=2.5*12=30 in

step 3

Find the actual area of the dog house floor to the nearest tenth inch

A=48*30=1,440 in²