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A rectangular sheet of metal measures $8$ inches by $10$ inches. The metal is worth $\$2.15$ per square inch. How much is the sheet of metal worth? $\newline$ $\$$ _____

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Area and perimeter: word problems

Full solution

Q. A rectangular sheet of metal measures

8

inches by

10

inches. The metal is worth

\$2.15

per square inch. How much is the sheet of metal worth?

\newline

\$

_____

Calculate Area: Calculate the area of the rectangular sheet of metal. The area of a rectangle is found by multiplying its length by its width. $\text{Area} = \text{Length} \times \text{Width}$
Substitute Dimensions: Substitute the given dimensions into the area formula. $\newline$ Area = $8\,\text{inches} \times 10\,\text{inches}$
Perform Multiplication: Perform the multiplication to find the area. $\newline$ Area = $80$ square inches
Calculate Value: Calculate the value of the sheet of metal by multiplying the area by the cost per square inch. $\newline$ Value = $\text{Area} \times \text{Cost per square inch}$
Substitute and Calculate: Substitute the calculated area and the given cost per square inch into the value formula. $\newline$ Value = $80$ square inches $\times$ $\$2.15$ per square inch
Substitute and Calculate: Substitute the calculated area and the given cost per square inch into the value formula. $\newline$ Value = $80$ square inches $\times$ $\$2.15$ per square inchPerform the multiplication to find the total value of the sheet of metal. $\newline$ Value = $\$172.00$

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