The length of a rectangular swimming pool is 10 feet longer than its width. if the perimeter of the pool is 100 feet, which of the following are the dimensions for the pool? a. length= 35 feet, width=25 feet b. length=30 feet, width= 20 feet c. length =35 feet, width =15 feet d. length= 25 feet, width=24 feet

Let the length of the pool = l

and width = w

length of a rectangular swimming pool is 10 feet longer than its width.

So , l=w+10

Perimeter of the rectangle = 100 feet

It means

2(l+w) = 100

So we have two equations

l=w+10 and 2(l+w) = 100 or l+w = 50

Plug l = w+10 into l+w =50

So we get

w+10+w= 50

Subtract 10 from both sides

2w= 40

divide both sides by 2

w=20

And l = w+10 = 20+10 = 30

So l= 30 and w= 20

So dimensions are

length of the rectangle = 30 feet

width of the rectangle = 20 feet

So Option B is correct.

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