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

`96 {cm}^(2)`

Step-by-step explanation

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

`Area = (1)/(2) ( \: sum \: of \: bases )\: * \: h`

`Area = (1)/(2) ( \: sum \: of \: bases )\: * \: h`

From the tra-pezoid

`\tan(45 \degree) = (6)/(x)`

`x = (6)/(\tan(45 \degree) )`

`x = (6)/(1) = 6`

`Area = (1)/(2) ( 12 + 20 )\: * \: 6`

`Area = (1)/(2) ( 32)\: * \: 6`

`Area =16 * 6 = 96 {cm}^(2)`

Answer 2

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.