Respuesta :
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 =
[tex]A = \text{Length}\times \text{Width}\\A = 50\times 30\\A = 1500\text{ square feet}[/tex]
Cost of sod = $0.32 per square foot
Total cost of sod =
[tex]C_1 = \text{Unit cost of sod}\times \text{Area of yard}\\C_1 = 0.32\times 1500\\C_1 = 480\$[/tex]
Cost of laying sods = $10 per square yard
Total cost of laying sod =
[tex]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\$[/tex]
Total cost of purchasing and laying the sod =
[tex]C = C_1 + C_2\\C = 480 +1666.67\\C = \$2,146.67[/tex]
Thus, the total cost of purchasing and laying sods in the rectangular yard is $2,146.67
