Question

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 40 feet. how many square feet of sod does jayden need to purchase? a. 4,200 square feet b. 2,800 square feet c. 4,400 square feet d. 4,800 square feet

Explanation:

Step1: Calculate front - yard area

The area of a rectangle is $A = l\times w$. For the front - yard, $l = 50$ feet and $w = 80$ feet. So the area of the front - yard $A_{front}=50\times80 = 4000$ square feet.

Step2: Calculate half of the back - yard area

For the back - yard, $l = 20$ feet and $w = 40$ feet. The area of the back - yard $A_{back}=20\times40=800$ square feet. Half of the back - yard area $A_{half - back}=\frac{800}{2}=400$ square feet.

Step3: Calculate total area of sod needed

The total area of sod needed $A = A_{front}+A_{half - back}=4000 + 400=4400$ square feet.

Answer:

C. 4,400 square feet