Question

Find the area of the figure. Round to the hundredth place when necessary.​

Answer 1

Answer:

$Area =155 \: yd^{2}$

Step-by-step explanation:

We have to cut this figure into several other figures, refer to the attached diagram where I have shown that the given figure can be cut into 3 different figures;

1. Rectangle

2. Triangle

3. Parallelogram

So we are going to find the area of these 3 shapes then we will add them together that will give us the area of whole figure.

Area of Rectangle:

The area of rectangle is given by

$A_{rectangle} = w\cdot l$

$w = 3 \: yd$

$l = 8 \: yd$

$A_{rectangle} = 3\cdot 8 = 24 \: yd^{2}$

Area of Parallelogram:

The area of parallelogram is given by

$A_{parallelogram} = b\cdot h$

$b = 13 \: yd$

$h = 15 - 8 = 7 \: yd$

$A_{parallelogram} = 13\cdot 7 = 91 \: yd^{2}$

Area of Triangle:

The area of triangle is given by

$A_{triangle} = \frac{1}{2}\cdot b\cdot h$

$b = 13 - 3 = 10 \: yd$

$h = 8 \: yd$

$A_{triangle} = \frac{1}{2}\cdot 10\cdot 8=40 \: yd^{2}$

Area of whole figure:

$Area = A_{rectangle} + A_{parallelogram} + A_{triangle}$

$Area = 24 + 91 + 40$

$Area =155 \: yd^{2}$

Therefore, the area of the whole figure is 155 square yd.