Question

Mr. Ishimoto needs to replace the grass in the section of his lawn that is shown below.

A grass section can be broken into 2 rectangles. 1 rectangle has a base of 7 feet and height of 3 feet. The other rectangle has a base of 2 feet and height of 7 feet.

If the new grass costs $0.40 per square foot, how much will the grass cost Mr. Ishimoto?
$14.00
$16.40
$35.00
$41.00

Answer 1

14.00

Explanation:

Answer 2

The replacing the grass will cost Mr. Ishimoto $14.00.

Explanation:

The area of a rectangular field is:

`\text{Area}=\text{height}* \text{base}`

It is provided that Mr. Ishimoto needs to replace the grass in the section of his lawn.

The grass section can be broken into 2 rectangles.

First rectangle: Base = 7 feet and Height = 3 feet.

Second rectangle: Base = 2 feet and Height = 7 feet.

Compute the area of both the rectangles as follows:

`\text{Area}_(1)=\text{height}_(1)* \text{base}_(1)\\=3* 7\\=21`
`\text{Area}_(2)=\text{height}_(2)* \text{base}_(2)\\=7* 2\\=14`

Now the cost of the new grass is $0.40 per square foot.

Compute the cost of replacing the grass in the first rectangular section as follows:

`\text{Cost of new grass for section 1}=\text{Area}_(1) *\$0.40\\`

`=21* \$0.40\\=\$8.40`

Compute the cost of replacing the grass in the second rectangular section as follows:

`\text{Cost of new grass for section 2}=\text{Area}_(2) *\$0.40\\`

`=14* \$0.40\\=\$5.60`

The total cost of replacing the grass is:

`\text{Total cost}=\text{Cost of new grass for section 1}+\text{Cost of new grass for section 2}`

`=\$8.40+\$5.60\\=\$14.00`

Thus, the replacing the grass will cost Mr. Ishimoto $14.00.