Question

A trapezoid has an altitude of 14 cm. Its parallel sides measure 5 and 8 cm, respectively. What is its area?

Answer 1

The Area of Trapezoid is 91 square cm .

Explanation:

Given as :

The altitude of Trapezoid = h = 14 cm

The measure of parallel sides =
`b_1` = 5 cm

And
`b_2` = 8 cm

Let The Area of Trapezoid = A square cm

Now, According to question

Area of Trapezoid =
`(1)/(2)` × (sum of parallel side) × altitude

Or, A =
`(1)/(2)` × (
`b_1` +
`b_2` ) × h

Or, A =
`(1)/(2)` × ( 5 cm + 8 cm ) × 14 cm

Or, A =
`(1)/(2)` × 13 cm × 14 cm

Or, A =
`(13* 14)/(2)`

∴ A = 91 cm²

So, The Area of Trapezoid = A = 91 square cm

Hence, The Area of Trapezoid is 91 square cm . Answer