Question

I need help w this question for geometry Find the total area

Answer 1

Step-by-step explanation

We are asked to find the total area of the figure

To do so, we will split the area into 2 as shown below

For figure A

We have a trapezoid

The area of a trapezoid is

`\begin{gathered} Area=(1)/(2)(a+b)* height \\ b=13 \\ a=3 \\ height=8 \\ area=(1)/(2)(13+3)*8 \\ area=(26)/(2)*8 \\ area=13*8 \\ area=104yd^2 \end{gathered}`

For figure B

The figure is a parallelogram

The area of a parllelogram is given by

`base* height=13*(15-8)=13*7=91yd^2`

Therefore, the total area is the sum of the areas of the two figures which will be

`104+91=195yd^2`

Thus, the area is 195 yd²