Question

does trapezoid has been divided into two right triangles and a rectangle how can the area of the trapezoid be determined using the area of each shape

Answer 1

The area of the trapezoid is the sum of the areas of the rectangle and the two triangles. Then, the area of the rectangle is:

$A_{\text{rect}}=14\cdot12=168in^2$

And the area of each triangle is:

$A_{\text{triangle}}=\frac{12\cdot2}{2}=12in^2$

The area of the trapezoid is:

$\begin{gathered} A_{\text{Trapezoid}}=A_{\text{rect}}+2\cdot A_{\text{triangle}}=168+2\cdot12 \\ \therefore A_{\text{Trapezoid}}=192in^2 \end{gathered}$