Question

The perimeter of ABCDE is 94 m. Find the lengths of segments AB and CD.

Answer 1

AB = CB and CD = AE

Perimeter =

16 + 2(x + 8) + 2(x - 3) = 94

16 + 2x + 16 + 2x - 6 = 94

4x + 26 = 94

4x = 68

x = 17

AB = x - 3

AB = 17 - 3 = 14

CD = x + 8

CD = 17 + 8 = 25