Answer:
The replacing the grass will cost Mr. Ishimoto $14.00.
Step-by-step explanation:
The area of a rectangular field is:
[tex]\text{Area}=\text{height}\times \text{base}[/tex]
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:
[tex]\text{Area}_{1}=\text{height}_{1}\times \text{base}_{1}\\=3\times 7\\=21[/tex] [tex]\text{Area}_{2}=\text{height}_{2}\times \text{base}_{2}\\=7\times 2\\=14[/tex]
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:
[tex]\text{Cost of new grass for section 1}=\text{Area}_{1} \times\$0.40\\[/tex]
[tex]=21\times \$0.40\\=\$8.40[/tex]
Compute the cost of replacing the grass in the second rectangular section as follows:
[tex]\text{Cost of new grass for section 2}=\text{Area}_{2} \times\$0.40\\[/tex]
[tex]=14\times \$0.40\\=\$5.60[/tex]
The total cost of replacing the grass is:
[tex]\text{Total cost}=\text{Cost of new grass for section 1}+\text{Cost of new grass for section 2}[/tex]
[tex]=\$8.40+\$5.60\\=\$14.00[/tex]
Thus, the replacing the grass will cost Mr. Ishimoto $14.00.
