Question

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ABCD is an isosceles trapezoid with legs Modifying above upper A upper B with barand modifying above upper C upper D with barand base modifying above B C with bar. If the length ofModifying above upper A upper B with baris 7y – 4, the length of modifying above B C with bar is 4y – 6 and the length of modifying above upper C upper D with baris 8y – 18, find the value of y.

Answer 1

To find the value of y, we can use the fact that the bases of an isosceles trapezoid are equal in length.

Given:
Length of AB = 7y - 4
Length of CD = 8y - 18

Since AB = CD:
7y - 4 = 8y - 18
Subtracting 7y from both sides:
-4 = y - 18
Adding 18 to both sides:
14 = y

Therefore, the value of y is 14.