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Elizabeth has a swimming pool at home. She wants to build a deck all the way around her rectangular swimming pool. The width of her swimming pool is 8 feet and the length is 10 feet. If she has enough wood to build a deck that is 280ft, how wide can she make the deck?

Respuesta :

Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.

What is the perimeter of a rectangle?

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

[tex]P = 2(l + w)[/tex]

In this problem:

  • She has enough wood to build a deck that is 280ft, hence P = 280.
  • The length is of 10 feet, hence l = 10.
  • Considering that the deck's width will be added to the actual width of 8 feet, we have that w = 8 + w.

Then:

[tex]P = 2(l + w)[/tex]

[tex]280 = 2(10 + 8 + w)[/tex]

[tex]36 + 2w = 280[/tex]

[tex]2w = 244[/tex]

[tex]w = \frac{144}{2}[/tex]

[tex]w = 122[/tex]

She can make a deck of 122 ft wide.

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

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