the area of a trapezoid is 99 square centimeters. If the shorter base is 1 less than twice the height, and the longer base is double the shorter base, find the length of the longer base.

This is my equation that I've written: 99=1/2(2x-1) + (4x-2)*h, I then simplified it down to 99=(3x-1.5)*h. Can you tell me am i going in the right direction? And help me.
Thanks, Jabria

1 answer

You're close, but you can express everything in terms of the height.
height: h
shorter base: 2h-1
longer base: 4h-2
so, now find h using
1/2 (2h-1 + 4h-2)h = 99
6h - 3 = 198
and so on