Pythagorean theorem: a^2 + b^2 = c^2
36^2 + b^2 = 85^2
1296 + b^2 = 7225
b^2 = 7225 - 1296
b^2 = 5926
b = square root of 5929
b = 77 inches long
Answer: Children’s Museum $150-$350 per sq. ft. Art Museum Exhibition $75-$200 per sq. ft. (Does not include cost of Art)
Step-by-step explanation:
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.