Question

The area of a trapezoid is 48 square inches. If the bases of the trapezoid are 9 inches and 15 inches, what is the height? 2 in. 1 in. 8 in. 4 in.

Answer 1

4 in.

Explanation:

The area of a trapezium is calculated using the formula:

`Area=(1)/(2)(Sum\:of\:the\:bases)* height`

The given tra-pezoid has area
`48` square inches.

The bases are given as 9 inches and 15 inches.

We plug in the known values into the formula to get;

`48=(1)/(2)(9+15)* height`

`48=(1)/(2)(24)* height`

`48=12* height`

Divide both sides by 12.

`(48)/(12)=height`

`4 in.=height`

Therefore the height of the trapezoid is 2 inches.

Answer 2

Option D 4 inches is correct.

Explanation:

Area of trapezoid = 48 square inches

Base a = 9

Base b = 15

We need to find the height h.

The formula for area of trapezoid is

Area = (a+b)/2 * h

Putting the values, we get

48 = ( 9+15)/2 * h

48 = (24)/2 * h

48 = 12 *h

=> h = 48/12

h = 4 inches

So, Option D 4 inches is correct.