Question

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?

Answer 1

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:

$P = 2(l + w)$

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:

$P = 2(l + w)$

$280 = 2(10 + 8 + w)$

$36 + 2w = 280$

$2w = 244$

$w = \frac{144}{2}$

$w = 122$

She can make a deck of 122 ft wide.

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