Question

Shown below is the proposed layout for a driveway. The lengthof each side is marked in feet. What is the area of the driveway,in square feet?

Answer 1

To answer this question, we need to divide the figure as follows:

From the picture above, we have that:

We have if we add 8 to 17 we get 25, that is why this side has a length of 8 feet. Likewise, we need to add 5 to 9 to get 14, that is why the other side has a length of 5.

We can also get these values if we subtract 9 from 14, and we obtain 5. In the same way, we can subtract 17 from 25 to get 8.

Then, we have two rectangles:

1. One of the rectangles measures 25ft on one side (length), and 9 feet (width).

2. The other rectangle measures 8ft (length) and 5ft (width)

Then, the area of the figure is the sum of the areas of both rectangles:

`A_{\text{greenrectangle}}=25ft\cdot9ft=225ft^2`
`A_{\text{purplerectangle}}=8ft\cdot5ft=40ft^2`

Then, the total area is the sum of both areas:

`A_{\text{total}}=225ft^2+40ft^2\Rightarrow A_(total)=265ft^2`

In summary, therefore, the area of the driveway, in square feet, is 265 (option H).