Answer :
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].
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].