Question

Help please!
Find the area of the trapezoid. Leave your answer in the simplest radical form. The figure is not drawn to scale.

Answer 1

96cm

The area of the rectangle is 72 (6 x 12)

The base of the left triangle is six and the height is six. Base x height is 36. 36/2 is 18.

The base of the right triangle is 2 and the height is 6. 6 x 2 is 12. 12/2 is 6.

6 plus 18 plus 72 is 96, which is the final answer.

Answer 2

ANSWER

$96 {cm}^{2}$

EXPLANATION

The area of a tra-pezoid is calculated using the formula:

$Area = \frac{1}{2} ( \: sum \: of \: bases )\: \times \: h$

$Area = \frac{1}{2} ( \: sum \: of \: bases )\: \times \: h$

From the tra-pezoid

$\tan(45 \degree) = \frac{6}{x}$

$x = \frac{6}{\tan(45 \degree) }$

$x = \frac{6}{1} = 6$

$Area = \frac{1}{2} ( 12 + 20 )\: \times \: 6$

$Area = \frac{1}{2} ( 32)\: \times \: 6$

$Area =16 \times 6 = 96 {cm}^{2}$