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Make Up-Put It All Together 1 (RM Ci M8)

1) Randy purchases four planks at a cost of [tex]$\$2.25[/tex] per linear foot to make an enclosed garden in the shape of a rectangle. Two of the planks are 9 feet long, and two are 3 feet long. Randy also buys garden fabric to cover the entire garden bed. The cost of the fabric is [tex]$\$2.99[/tex] per square foot. How much did the project cost, including the planks and the fabric? Show your work.

2) J'ette created a backsplash in her kitchen using a pattern of parallelogram-shaped tiles with the dimensions shown.

Sure! Let's solve the problem step by step.

Question 1: Calculate the total cost of the project including planks and garden fabric

Randy is making a rectangular garden using four planks and garden fabric. We need to find the total cost for both the planks and the fabric.

1. Calculate the cost of the planks:
- Randy has two planks that are 9 feet each and two planks that are 3 feet each.
- Therefore, the total length of planks is:
[tex]$9 + 9 + 3 + 3 = 24$[/tex] feet.
- The cost of the planks is [tex]$\$2.25$[/tex] per linear foot.
- Total cost for the planks is:
[tex]$24 \, \text{feet} \times 2.25 \, \text{per foot} = \$54.00$[/tex].

2. Calculate the cost of the garden fabric:
- The garden is rectangular with dimensions 9 feet by 3 feet.
- The area of the rectangular garden is:
[tex]$9 \, \text{feet} \times 3 \, \text{feet} = 27$[/tex] square feet.
- The cost of the fabric is [tex]$\$2.99$[/tex] per square foot.
- Total cost for the fabric is:
[tex]$27 \, \text{square feet} \times 2.99 \, \text{per square foot} = \$80.73$[/tex].

3. Calculate the total project cost:
- The total cost includes both the planks and the fabric:
[tex]$\$54.00 + \$80.73 = \$134.73$[/tex].

So, the entire project cost for the materials, including the planks and the garden fabric, is [tex]$\$134.73$[/tex].