ABCD is an isosceles trapezoid with legs line AB.

and line CD
and base line BC
If the length of line AB
=10y-16, the length of line BC
= 4y-6 and the length of line CD
=8y-4, find the value of y. Make sure to show ALL of your work in order to receive full credit.

1 answer

Since ABCD is an isosceles trapezoid, the lengths of its legs AB and CD are equal. This can be written as:
10y - 16 = 8y - 4
To isolate y, we can subtract 8y from both sides, and add 16 to both sides:
10y - 8y = -4 + 16
2y = 12
Finally, dividing both sides by 2, we find:
y = 6