Question

The area of the trapezoid is 40 square units. What is the height of the trapezoid? __ Units

Answer 1

we know that

The area of a trapezoid is equal to

$A=\frac{1}{2}(b1+b2)h$

where

b1 and b2 are the parallel bases of the trapezoid

h is the height of the trapezoid

In this problem we have

$b1=6\ units\\b2=10\ units\\A=40\ units^{2}$

substitute in the formula

$40=\frac{1}{2}(6+10)h$

Solve for h

$40*2=16h$

$h=80/16=5\ units$

therefore

the answer is

The height of the trapezoid is $5\ units$

Answer 2

The answer is 5. The formula for area of trapezoid is A=a+b/2*h
When you input 40 for A and 6 for a and 10 for b, then you should get 5
hope this helps:))