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Ann [662]
3 years ago
13

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 t

he 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
Mathematics
2 answers:
saw5 [17]3 years ago
5 0

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.

siniylev [52]3 years ago
4 0
I think that the answer is D. Bc it goes into 100 better than the other options
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