Question

D 2 in. F 14 in E 2 in. C This trapezoid has been divided into two right triangles and a rectangle. 12 ini How can the area of the trapezoid be determined using the area of each shape? Enter your answers in the boxes. > 14 in. A B The area of the rectangle is in?, the area of the triangle on the left is in?, and the area of the triangle on the right is in The area of the trapezoid is the sum of these areas, which is in?

Answer 1

To get the area of the rectangular section, multiply its length by its width, as shown below

`A_{\text{rectangle}}=14\cdot12=168`

The measures of both triangles are identical; therefore,

`A_{\text{triangle}}=(1)/(2)(2\cdot12)=12`

Finally, the area of the trapezoid is

`A_{\text{trapezoid}}=A_{\text{rectangle}}+2A_{\text{triangle}}=168+24=192`

The answers are 168, 12, 12, 192