Question

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

Answer 1

Answer:

The Area of Trapezoid is 91 square cm .

Step-by-step 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 = $\dfrac{1}{2}$ × (sum of parallel side) × altitude

Or, A = $\dfrac{1}{2}$ × ( $b_1$ +  $b_2$ ) × h

Or, A = $\dfrac{1}{2}$ × ( 5 cm + 8 cm ) × 14 cm

Or, A =  $\dfrac{1}{2}$ × 13 cm × 14 cm

Or, A = $\frac{13\times 14}{2}$

∴ A = 91 cm²

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

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