Trapezoid Promblem!!! Need Help Quick!! Please!!!

[jeffie_39601]

The area of an isosceles trapezoid is 326 inches squared It's height is 9 inches and the length of its shorter base is 16 inches. find the length of its legs to the nearest tenth.

 

[Gene]

I thought everyone knew the area of a trapazoid is
(1/2) the height times the sum of the bases.
After that you work with a right triangle.

 

[jeffie_39601]

Trapezoids

She gave us the answer but told us to work it to find the answer. Ive worked it a thousand times and i still am not getting the answer she told us on our study giude. We have a huge test tomorrow and i dont know how to do it. Could you work it and see what you get for the answer?

 

[Gene]

Hmmm, you could have shown what you tried at least one of the thousand times.
326=(1/2)9(16+x)
The length of the leg is
sqrt(((x-16)/2)²+9²)
I get 22.1 for the leg.