Question

The perimeter of a pentagon is 48. One side is equal to x, two sides are twice x and two sides are three more than x. What are the measurements of the sides?

Answer 1

side lengths are 6, 12, 12, 9, 9

Explanation:

The perimeter is the sum of the lengths of the sides:

x + 2x + 2x + (x+3) + (x+3) = 48

7x +6 = 48 . . . . collect terms

7x = 42 . . . . . . .subtract 6

x = 6 . . . . . . . . . divide by 7

Substitute this value into the expressions for the side lengths:

x = 6

2x = 12

x+3 = 9

The side lengths are 6, 12, 12, 9, 9.