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)

Question

Responses

80 sq. ft.
80 sq. ft.

60 sq. ft.
60 sq. ft.

46 sq. ft.
46 sq. ft.

150 sq. ft.

Answer 1

To solve for the area of Rani's yard, we can use the formula for the area of a rectangle:

Area = length x width

First, we need to determine the length and width of the yard. We can do this by finding the distance between the x-coordinates and the y-coordinates of the corners.

Length = 12 - 2 = 10 feet
Width = 20 - 5 = 15 feet

Now, we can calculate the area:

Area = 10 feet x 15 feet = 150 sq. ft.

Therefore, the correct answer is 150 sq. ft.