Question

20.8 in 24 in 16 in 19.2 in Name the Shape: O triangle

Answer 1

A trapezoid is a quadrilateral with only one pair of parallel sides. Then the answer is a Trapezoid.

We can divide the trapezoid in one rectangle and one triangle as following:

then, the area of the rectangle is

$\begin{gathered} A_R=\text{base}\times height \\ A_R=(19.2)(16) \\ A_R=307.2in^2 \end{gathered}$

and the area of the triangle is

$\begin{gathered} A_T=\frac{base\times height}{2} \\ A_T=\frac{(19.2)(8)}{2} \\ A_T=\frac{153.6}{2} \\ A_T=76.8in^2 \end{gathered}$

Therefore, the area of the trapezoid is

$A=A_R+A_T$

then, we have

$\begin{gathered} A=307.2+76.8 \\ \end{gathered}$

and the answer is A=384 in^2.