ABCD is an isosceles trapezoid with legs AB and CD. and with base BC. If AB=6z-5 and BC=7z+4 and CD=4z+3.

Question

Find Z

Find BC

Answer 1

since AB ≅ CD,
6z-5 = 4z+3
solve for z and use that to find |BC|

Answer 2

Z = 4
BC = 32