Answer :
Final answer:
Therefore, the total cost of the project is $233.52.
Explanation:
Ai Randy wants to calculate the total cost for the materials needed to make an enclosed garden bed in the shape of a parallelogram. To solve this, we must find the cost of the planks and the area of the parallelogram to determine the cost of the garden fabric.
Cost of Planks
Randy buys four planks, two measuring 8 feet and two measuring 6 feet, at a cost of $1.50 per linear foot. To find the total cost of the planks: Cost for the 8-foot planks: 2 planks x 8 feet/plank x $1.50/foot = $24.00. Cost for the 6-foot planks: 2 planks x 6 feet/plank x $1.50/foot = $18.00. Total cost for planks: $24.00 + $18.00 = $42.00
Cost of Garden Fabric
To find the area of the garden bed, we use the formula for the area of a parallelogram, which is base x height. Assuming the base is 6 feet and height is 8 feet: Area of parallelogram: 6 feet x 8 feet = 48 square feet. Cost of fabric per square foot: $3.99. Total cost for fabric: 48 square feet x $3.99/square foot = $191.52.
Total Project Cost
Add the cost of the planks and the fabric to find the total cost: Total cost: $42.00 + $191.52 = $233.52