The perimeter of a parallelogram is 48, with the length of a shorter side being 10. What is the length of one of the longer sides?

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Mar 8, 2018

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14

Explanation:

I am going to abbreviate "shorter side" to #s# and "longer side" to #l#.

The perimeter of the parallelogram is the same as all the sides added together, or the same as this equation:
#l + s +l + s = 48#

We already know that #s = 10# so let's put that into our equation.
#l + 10 +l + 10 = 48#

Now let's simplify:
#l + 10 +l + 10 = 48 rarr#
#2l + 20 = 48 rarr# (I added like terms together)
#2l = 28 rarr# (I subtracted 20 from both sides)
#l = 14# (I divided by 2)

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