Question

ABCD is an isosceles trapezoid with legs AB and CD and base BC. If the length of AB is 7y - 4, the length of BC is is 4y - 6 and the length of CD is 8y - 18, find the value of Y.

Answer 1

y = 14

Explanation:

Since this is an isosceles trapezoid, the legs are congruent. This means the expressions for AB and CD are equal:

7y - 4 = 8y - 18

Add 18 to each side:

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y

Subtract 7y from each side:

7y + 14 - 7y = 8y - 7y

14 = 1y

14 = y

Answer 2

y = 14

Explanation:

In an isosceles trapezoid, the legs are equal.

AB = CD

7y – 4 = 8 y – 18 Add 18 to each side

7y + 14 = 8y Subtract 7y from each side

y = 14