Question

Rhonda's backyard has a rectangular patio that is 12 1/2 feet long, by 8 2/5 feet wide. She is planning on building a second rectangular patio that is 6 4/5 feet long by 7 1/2 feet wide.

A map of the backyard is shown below.

Select the correct unit rate and the correct interpretation from the table to compare the area of the old patio to the area of the new patio.

Answer 1

9514 1404 393

Answer:

2 1/17 ft²/ft²

square feet of old for each square foot of new

Step-by-step explanation:

The area of the old patio is ...

A = LW = (12.5 ft)(8.4 ft) = 105 ft²

The area of the new patio is ...

A = (6.8 ft)(7.5 ft) = 51 ft²

Then the comparison of areas of old to new gives ...

old patio area : new patio area = (105 ft²)/(51 ft²) = 2 1/17 ft²/ft²