Question

A family built a house and wanted to put down in their rectangular yard. The sod costs $0.32 per square foot plus 10 per square yard to lay the sod. The front yard is 30 by 50 feet. How much will it cost to purchase and lay the sod?

Answer 1

Answer:

The total cost of purchasing and laying sods in the rectangular yard is $2,146.67  

Step-by-step explanation:

We are given the following in the question:

Dimensions of rectangular yard:

Length = 50 feet

Width = 30 feet

Area of rectangular yard =

$A = \text{Length}\times \text{Width}\\A = 50\times 30\\A = 1500\text{ square feet}$

Cost of sod = $0.32 per square foot

Total cost of sod =

$C_1 = \text{Unit cost of sod}\times \text{Area of yard}\\C_1 = 0.32\times 1500\\C_1 = 480$

Cost of laying sods = $10 per square yard

Total cost of laying sod =

$C_2 = \text{Unit cost of laying sod}\times \text{Area of yard}\\\\\text{1 square yard}=\dfrac{1}{9}\text{Square foot}\\\\C_2 = 10\times \dfrac{1500}{9}\\\\C_2 = 1666.67$

Total cost of purchasing and laying the sod =

$C = C_1 + C_2\\C = 480 +1666.67\\C = \ 2,146.67$

Thus, the total cost of purchasing and laying sods in the rectangular yard is $2,146.67