The height of a trapezoid is 6 in. and it’s area is 72 in to the 2nd power. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Complete the explanation of how you found your answer.

One base is __ inches for one of the bases and __ inches for the other base.

Use the formula for the area of a trapezoid. Substitute 72 for A and 6 for h and simplify the equation to find __ = (b1 + b2). Use guess and check to find two numbers that add to __ with one number 6 more than the other to get __ inches for one of the bases and __ inches for the other base.

Given:

The height of the given trapezoid = 6 in

The area of the trapezoid = 72 in²

Also given, one base of the trapezoid is 6 inches longer than the other base

To find the lengths of the bases.

Formula

The area of the trapezoid is

where, h be the height of the trapezoid

be the shorter base

be the longer base

As per the given problem,

Now,

Putting, A=72, and h=6 we get,

or,

or,

or,

or,

or,

So,

The shorter base is 9 in and the other base is = (6+9) = 15 in

Hence,

One base is 9 inches for one of the bases and 15 inches for the other base.

there is nothing below so i cannot

step-by-step explanation:

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)