A trapezoid has an area of 493 meters squared, a height of 17m, and a base of 22m. Find the length of the other base. Show all work for credit. A trapezoid has an area of 493 meters squared, a height of 17m, and a base of 22m. Find the length of the other base. Show all work for credit. @Mathematics

Question

A trapezoid has an area of 493 meters squared, a height of 17m, and a base of 22m. Find the length of the other base. Show all work for credit.   A trapezoid has an area of 493 meters squared, a height of 17m, and a base of 22m. Find the length of the other base. Show all work for credit.   @Mathematics

anonymous · Answer

Area of a Trapeziod $$A= (a+b)/2*H $$ where a is the length of the top, b is the length of the bottom and H is the height

anonymous · Answer

sooo how do i know what the top is...??

anonymous · Answer

everything made sense but the a

anonymous · Answer

The answer I got is 36 meters. Plug in 493 for the area, divide by 17 (the height), multiply by 2 and subtract 22 (the length of one base) and this will yield the length of the other base

anonymous · Answer

493/17*2-22 ?

turingtest · Answer

you know A, H, and b, so change the equation so that it solves for a, the only remaining variable:
$$a={2A \over H}-b$$plug the known numbers into their right places in this equation and you will have your answer.

anonymous · Answer

oooh ok thankz haha

anonymous · Answer

Length of the other base is 36 m

turingtest · Answer

yours is right if you write it as (493/17)2-22 ?