Rani needs to buy sod to cover his new backyard. His landscape design is graphed, and the yard has corners at (2,20), (12,20), (12,5), and (2,5). Solve for the area of his yard.(1 point) Responses 80 sq. ft. 80 sq. ft. 46 sq. ft. 46 sq. ft. 150 sq. ft. 150 sq. ft. 60 sq. ft.

Answer 1

To solve for the area of Rani's yard, we need to calculate the area of the rectangle formed by the four corners.

The length of the yard is the difference between the x-coordinates of the two furthest corners, which is 12 - 2 = 10 feet.

The width of the yard is the difference between the y-coordinates of the two furthest corners, which is 20 - 5 = 15 feet.

Therefore, the area of the yard is 10 feet * 15 feet = 150 sq. ft.

So, the correct answer is 150 sq. ft.