Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 80 feet. His back yard has a length of 20 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase?

A.
4,300 square feet
B.
4,600 square feet
C.
2,600 square feet
D.
4,150 square feet

First, calculate the area of the front yard:

50 feet x 80 feet = 4000 square feet

Then, calculate half of the area of the back yard:
(20 feet x 30 feet) / 2 = 300 square feet

Add the two areas together:
4000 square feet (front yard) + 300 square feet (half of back yard) = 4300 square feet

Therefore, Jayden needs to purchase 4300 square feet of sod.
The correct answer is A. 4,300 square feet.