Question

Ari is designed a patio that will be 20 feet long and 16 feet wide. He makes a scale drawing of the patio using a scale of 1 inch to 4 feet. The ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to _ square feet ?

Answer 1

16 square ft.

If 1 in is equal to 4 ft, then the area of a 4ft by 4ft square is 16 ft

Answer 2

the ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to 16 square feet.

Explanation:

The actual area of the patio:

A = 20 feet long *16 feet wide = 320 square feet

The dimensions of the scale drawing are:

`20:4=5\ in\text{ and }16:4=4\ in,`

=> The scaled drawing area of the patio:

A = 5 in long * 4 in wide

= 20 square in

The ratio of the area of the scaled drawing to the actual area of the patio is:

`20:320=1:16`

the ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to 16 square feet.