Answer :

We need to find the area for the given figure.

Now, we can divide the figure into two rectangles:

Then, we need to find each area. The area for a rectangle is given by the next formula:

[tex]A=Length\cdot\text{ width}[/tex]

For the largest rectangle:

Lenght = 2yd + 5yd + 2yd

Lenght = 9yd

Width = 5yd

Therefore, the area for the largest rectangle is:

[tex]A=9yd\cdot5yd[/tex][tex]A=45yd^2[/tex]

For the small rectangle:

Length = 5yd

Width = 3yd

Therefore, the area for the small rectangle is:

[tex]A=5yd\cdot3yd[/tex][tex]A=15yd^2[/tex]

Now, to find the total area of the figure, we need to add up to both rectangles areas:

[tex]A_t=small\text{ rectangle +largest rectangle}[/tex]

Then:

[tex]A_t=60yd^2[/tex]

Hence, the total area for the figure is 60yd²

View image ZarrahJ702359