perimeter

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steph steph
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perimeter

in a triangle, the length of side c is one less that twice the length of side a. The length of side b is four more than the length of side c. Write an expression to represent the perimeter of the triangle in terms of side a.
AlgebraHouse AlgebraHouse
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Re: perimeter

x = length of side a
2x - 1 = length of side c   {side c is one less than twice side a}
2x + 3 = length of side b   {side b is 4 more than c....added 4 onto 2x - 1}

x + 2x - 1 + 2x + 3 = Perimeter   {added all sides together}
Perimeter = 5x + 2   {combined like terms}

In terms of side a, it is  "2 more than five times the length of side a", since side a was x.

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