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Challenge Yossi used to have a square garage with 246 ft of floor space. recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Respuesta :

Considering the perimeter of a square, it is found that:

  • The length of one side of the garage​ originally was of 61.5 ft.
  • The length of one side of the garage​ now is of 92.25 ft.
  • The percent increase in the length of one​ side was of 50%.

What is the perimeter of a square?

The perimeter of a square of side length s is given by four times the length, that is:

P = 4s.

Before the change, the perimeter was of 246 ft, hence:

4s = 246

s = 246/4

s = 61.5.

The length of one side of the garage​ originally was of 61.5 ft.

After that, the perimeter increased by 50%, hence:

P = 246 x 1.5 = 369.

4s = 369

s = 369/4

s = 92.25.

The length of one side of the garage​ now is of 92.25 ft.

The percent increase is the increase divided by the initial value, hence:

(92.25 - 61.5)/61.5 = 50%.

The percent increase in the length of one​ side was of 50%.

More can be learned about the perimeter of a square at https://brainly.com/question/10489198
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