A rectangular swimming pool is 13m longer than it is wide. If the perimeter is 48m, what is the length of the swimming pool?

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Answer 1 · 2018-03-19T12:56:18

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#\text{Length}=18.5\ m#
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Let's say, width of the pool is #w#. Then the length according to the requirement would be, #w+13#.

We have given the perimeter so, write down the formula for the perimeter and put the given values as:

#P=2(l+w)#

#48=2(w+13+w)#

Solve for #w# to get:

#4w+26=48#

#w={48-26}/4#

#w=5.5#

#l=13+5.5=18.5#

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That's it!

Answer 2 · 2018-03-19T13:46:28

The length of the swimming pool is 18.5m.

Let x be the width of the swimming pool.
#2(x+x+13) = 48#
#2x+13 = 24#
#2x = 24 - 13#
#2x = 11#
#x = 11/2#
#x = 5.5#

The length is 13m more than the width, so it is 18.5m.