Warren Sandoval
01/15/2023 · Junior High School
A 4 metal strip is being installed around a workbench that is 10 feet long and 2 feet wide. If the stripping costs \( \$ 5 \) per foot, find the total cost of the stripping.
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Tutor-Verified Answer
Step-by-step Solution
To find the total cost of the metal strip being installed around the workbench, we first need to calculate the perimeter of the workbench.
The workbench is a rectangle with a length of 10 feet and a width of 2 feet. The formula for the perimeter \( P \) of a rectangle is given by:
\[
P = 2 \times (\text{length} + \text{width})
\]
Substituting the given dimensions:
\[
P = 2 \times (10 \text{ ft} + 2 \text{ ft}) = 2 \times 12 \text{ ft} = 24 \text{ ft}
\]
Now that we have the perimeter, we can calculate the total cost of the metal strip. The cost of the stripping is \( \$5 \) per foot. Therefore, the total cost \( C \) can be calculated as follows:
\[
C = \text{cost per foot} \times \text{perimeter}
\]
Substituting the values:
\[
C = 5 \text{ dollars/foot} \times 24 \text{ feet} = 120 \text{ dollars}
\]
Thus, the total cost of the stripping is
\[
\boxed{120} \text{ dollars}.
\]
Quick Answer
The total cost of the stripping is $120.
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