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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?

Respuesta :

sqdancefan

9514 1404 393

Answer:

  • 10 ft
  • 7 ft

Step-by-step 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.

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