Question

What is the area of the trapezoid?

Answer 1

A trapezoid is a quadrilateral with one pair of parallel sides. The formula for the area of a trapezoid is ↓

Area = $\frac{1}{2}$ (base 1 + base 2) h

The bases of the trapezoid are the parallel sides.

In the trapezoid shown, the bases are 22.2 cm and 8.52 cm and the height of the trapezoid is 9.86 cm. Now, we can plug these numbers into our formula.

$\frac{1}{2}$ (22.2 cm + 8.52 cm) (9.86 cm)

Next, the order of operations tells us that we need to simplify inside the parentheses first. 22.2 + 8.52 = 30.72 cm

$\frac{1}{2}$ (30.72 cm) (9.86 cm)

$\frac{1}{2}$ × 30.72 = 15.36

(15.36 cm) (9.86 cm) = 151.4496 cm²