Question

Find the area of the figure. (Sides meet at right angles.)5 yd5 yd2 yd2 yd3 yd5 yd

Answer 1

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:

`A=Length\cdot\text{ width}`

For the largest rectangle:

Lenght = 2yd + 5yd + 2yd

Lenght = 9yd

Width = 5yd

Therefore, the area for the largest rectangle is:

`A=9yd\cdot5yd`
`A=45yd^2`

For the small rectangle:

Length = 5yd

Width = 3yd

Therefore, the area for the small rectangle is:

`A=5yd\cdot3yd`
`A=15yd^2`

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

`A_t=small\text{ rectangle +largest rectangle}`

Then:

`A_t=60yd^2`

Hence, the total area for the figure is 60yd²