Question

The area of the trapezoid is 40 square units.

What is the height of the trapezoid? __ Units

Answer 1

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:))

Answer 2

we know that

The area of a trapezoid is equal to

`A=(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=(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`