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 10 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase?

To find the area of the front yard, we use the formula:

Area = length x width

Area = 50 feet x 80 feet

Area = 4,000 square feet

To find the area of half of the back yard, we first need to find the area of the entire back yard:

Area = length x width

Area = 10 feet x 30 feet

Area = 300 square feet

Half of the back yard is:

300 square feet รท 2 = 150 square feet

Now we can find the total area of the yard that needs sod:

Total area = front yard area + half of back yard area

Total area = 4,000 square feet + 150 square feet

Total area = 4,150 square feet

Jayden needs to purchase 4,150 square feet of sod.