Question

jayden wants to lay sod on his front yard and on half of his back yard. his front yard has a length of 60 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?
a. 4,875 square feet
b. 4,950 square feet
c. 2,700 square feet
d. 5,100 square feet

Explanation:

Step1: Calculate front - yard area

The area of a rectangle is $A = l\times w$. For the front - yard, $l = 60$ feet and $w = 80$ feet. So, $A_{front}=60\times80 = 4800$ square feet.

Step2: Calculate back - yard area

For the back - yard, $l = 10$ feet and $w = 30$ feet. So, $A_{back}=10\times30=300$ square feet.

Step3: Calculate half of the back - yard area

$A_{half - back}=\frac{1}{2}\times A_{back}=\frac{1}{2}\times300 = 150$ square feet.

Step4: Calculate total area of sod needed

$A_{total}=A_{front}+A_{half - back}=4800 + 150=4950$ square feet.

Answer:

B. 4,950 square feet