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yael used to have a square garage with 320 ft^2 of floor space. she 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 area of a square, we have that:

  • The length of one side of the garage​ originally was of 17.9 ft.
  • The length of one side of the garage​ now is of 21.9 ft.
  • The percent increase in the length of one​ side was of 22.35%.

What is the area of a square?

The area of a square of side s is given by s squared, that is:

A = s².

The original area was of 320 ft², hence the original length was:

s² = 320

s = sqrt(320)

s = 17.9 ft.

The area increased by 50%, hence the new area is:

A = 1.5 x 320 = 480 ft².

The current length of one side is:

s² = 480

s = sqrt(480)

s = 21.9 ft.

The percent increase is the change divided by the initial length and multiplied by 100%, hence:

(21.9 - 17.9)/17.9 x 100% = 22.35%.

The percent increase in the length of one​ side was of 22.35%.

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

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