Question

what is the area below?

Answer 1

Answer:

$A_{total}=12432in^2$

Step by step explanation:

To calculate the area of the following diagram, we can calculate separately areas for the trapezoid and the rectangle.

The area of the trapezoid is represented by the following expression:

$A=\frac{1}{2}(\text{ minor base+mayor base)}\cdot h$

The area of the rectangle is represented by the following formula:

$A=b\cdot h$

Then,

$\begin{gathered} A_{trapezoid}=\frac{1}{2}(13+24)\cdot4 \\ A_{trapezoid}=\frac{1}{2}(37)\cdot4 \\ A_{trapezoid}=18.5\cdot4=74in^2 \end{gathered}$$\begin{gathered} A_{rec\tan gle}=24\cdot7 \\ A_{rec\tan gle}=168in^2 \end{gathered}$

So, for the total area:

$\begin{gathered} A_{total}=168\cdot74 \\ A_{total}=12432in^2 \end{gathered}$