Robert is replacing sod in two square-shaped areas of his backyard. One side of the first area is 7.5 feet. One side of the other area is 5.7 feet. The sod costs 'y' dollars per square foot.
A)Write an expression to show how much Robert will spend on sod.
B)If the sod costs $3.25 per square foot, about how much will Robert spend to put sod down in both areas of his backyard? Round to the nearest dollar.
THANK YOU!
7.5^2 + 5.7^2 * 3.25 = ?
A) To calculate how much Robert will spend on sod, we need to find the area of each square-shaped area in his backyard.
The area of a square is given by the formula A = side^2.
For the first area, with one side measuring 7.5 feet, the area is A1 = 7.5^2 = 56.25 square feet.
For the second area, with one side measuring 5.7 feet, the area is A2 = 5.7^2 = 32.49 square feet.
Now, to find how much Robert will spend on sod, we need to multiply the area of each square-shaped area by the cost per square foot, which is 'y'.
Therefore, the expression for how much Robert will spend on sod is:
Total cost = (A1 * y) + (A2 * y)
B) If the sod costs $3.25 per square foot, we can substitute that value into the expression we derived in part A.
Total cost = (56.25 * 3.25) + (32.49 * 3.25)
= 182.81 + 105.61625
≈ 288.43
So, Robert will spend approximately $288 (rounded to the nearest dollar) to put sod down in both areas of his backyard.