Question

9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)

Answer 1

Area, A = 63.6 square yards

Explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

`Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height`

Therefore,
`Area \; of \; trapezoid = \frac {1}{2} * (b_(1) + b_(2)) * h`

Given the following data;

Length, b1 = 5 yards

Width, b2 = 5.6 yards

Height, h = 12 yard

To find the area of geometrical shape (trapezoid), we would use the above formula;

A = 1/2 (b1 + b2) * h

Substituting into the formula, we have;

A = ½ * (5 + 5.6) * 12

A = ½ * (10.6)*12

A = 5.3 * 12

Area, A = 63.6 square yards