Question

A trapezoid has an altitude of 14 cm. its parallel sides measure 5 and 8 cm, respectively. what is its area? 182 cm�� 91 cm�� 45.5 cm�� 280 cm��

Answer 1

The area of a trapezoid is 91cm² .

Explanation:

Formula

`Area\ of\ a\ trapezoid = (Sum\ of\ parallel\ sides* Height)/(2)`

As given

A trapezoid has an altitude of 14 cm. its parallel sides measure 5 and 8 cm.

Put in the formula

`Area\ of\ a\ trapezoid = ((5 +8)* 14)/(2)`

`Area\ of\ a\ trapezoid = (13* 14)/(2)`

`Area\ of\ a\ trapezoid = (182)/(2)`

Area of a trapezoid = 91 cm²

Therefore the area of a trapezoid is 91cm² .

Answer 2

The formula for the area of a trapezoid is:
`A= (a+b)/(2) h`

Substitute:
`A= ((5)+(8))/(2)(14)`

Simplify:
`image`

The area of the trapezoid is 91 cm.