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Lorena is designing a rectangular patio in her garden. She has enough tiles to cover 324 square feet. She wants the length of the patio to be 15 feet longer than the width. What dimensions should Lorena use for the patio?

Respuesta :

Using the area of a rectangle, it is found that her patio should have a width of 12 feet and a length of 27 feet.

What is the area of a rectangle?

The area of a rectangle of length l and width w is given by:

A = lw.

In this problem:

  • She has enough tiles to cover 324 square feet, hence A = 324.
  • She wants the length of the patio to be 15 feet longer than the width, hence l = 15 + w.

Thus:

324 = w(15 + w)

w^2 + 15w - 324 = 0

w = -27 or w = 12.

We take the positive value, hence l = 15 + w = 15 + 12 = 27 feet.

The dimensions should be a width of 12 feet and a length of 27 feet.

You can learn more about the area of a rectangle at https://brainly.com/question/10489198

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