High School

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Randy purchases four planks at a cost of $1.50 per linear foot to make an enclosed garden bed in the shape of a parallelogram. Two of the planks are 8 feet, and two are 6 feet. Randy also buys garden fabric to cover the entire garden bed. The cost of the fabric is $3.99 per square foot.

How much did the project cost, including the planks and the fabric?

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

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Rewritten by : Barada