Question

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.

A.
Sketch:

B.
Find z.
work:

C.
Find BC.
work:

Answer 1

A. Sketch of isosceles trapezoid ABCD:

A -------B
| |
| |
| |
D------- C

B. If AB = CD (isosceles trapezoid), then:
6z - 5 = 4z + 3
2z = 4
z = 2

C. To find BC:
BC = 7z + 4
= 7(2) + 4
= 18

Therefore, BC = 18.