Question

Isosceles trapezoid ABCD has legs and and base , If AB = 7y – 4, BC = 4y – 6, and CD = 8y – 18, find the value of y.

Answer 1

y= 14

Explanation:

Isosceles trapezoid has opposite sides equal

Hence, AB and CD are equal

We have been given AB= 7y-4

And CD= 8y-18

According to the property

7y-4 = 8y-18

On simplification:

7y -8y= -18+4

On further simplification.

-y=-14

Hence, y =14

Answer 2

If an isosceles trapezoid ABCD has legs AB and CD and base BC, then:
AB = CD
AB = 7 y - 4, CD = 8 y - 18
8 y - 18 = 7 y - 4
8 y - 7 y = 18 - 4
Answer:
y = 14