Question

The sum of the perimeters of 2 different squares is 68 feet, and the difference between their perimeters is 12 feet. What is the side length of

each square?

Answer 1

9514 1404 393

Answer:

• 10 ft
• 7 ft

Explanation:

The side lengths are 1/4 of the perimeter, so we can say ...

the sum of side lengths is 68 ft/4 = 17 ft

the difference of side lengths is 12 ft/4 = 3 ft

Using x to represent the side length of the smaller square, we have ...

x + (x +3) = 17 . . . . . . the larger square has side length x+3

2x = 14 . . . . . . . . . subtract 3

x = 7 . . . . . . . . divide by 2

The side lengths of the squares are 7 feet and 10 feet.