Question

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

Answer 1

Answer: A. $14.00

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step explanation:

The area of a rectangular field is:

$\text{Area}=\text{height}\times \text{base}$

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:

$\text{Area}_{1}=\text{height}_{1}\times \text{base}_{1}\\=3\times 7\\=21$               $\text{Area}_{2}=\text{height}_{2}\times \text{base}_{2}\\=7\times 2\\=14$

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:

$\text{Cost of new grass for section 1}=\text{Area}_{1} \times\ 0.40$

                                                $=21\times \ 0.40\\=\ 8.40$

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

$\text{Cost of new grass for section 2}=\text{Area}_{2} \times\ 0.40$

                                                $=14\times \ 0.40\\=\ 5.60$

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.