Question
A rectangular sheet of metal measures 8 inches by 11 inches. The metal is worth $0.13 per square inch. How much is the sheet of metal worth?
Answers
GPT-4o mini
To find the worth of the rectangular sheet of metal, we first need to calculate its area. The area \( A \) of a rectangle is given by the formula:
\[
A = \text{length} \times \text{width}
\]
For this sheet of metal, the dimensions are 8 inches and 11 inches. Thus, the area is:
\[
A = 8 \, \text{inches} \times 11 \, \text{inches} = 88 \, \text{square inches}
\]
Next, we need to calculate the total value of this area, knowing that the metal is worth $0.13 per square inch. We can calculate the total worth \( W \) by multiplying the area by the price per square inch:
\[
W = A \times \text{price per square inch} = 88 \, \text{square inches} \times 0.13 \, \text{dollars per square inch}
\]
Calculating this:
\[
W = 88 \times 0.13 = 11.44 \, \text{dollars}
\]
Thus, the sheet of metal is worth:
\[
\boxed{11.44} \, \text{dollars}
\]
\[
A = \text{length} \times \text{width}
\]
For this sheet of metal, the dimensions are 8 inches and 11 inches. Thus, the area is:
\[
A = 8 \, \text{inches} \times 11 \, \text{inches} = 88 \, \text{square inches}
\]
Next, we need to calculate the total value of this area, knowing that the metal is worth $0.13 per square inch. We can calculate the total worth \( W \) by multiplying the area by the price per square inch:
\[
W = A \times \text{price per square inch} = 88 \, \text{square inches} \times 0.13 \, \text{dollars per square inch}
\]
Calculating this:
\[
W = 88 \times 0.13 = 11.44 \, \text{dollars}
\]
Thus, the sheet of metal is worth:
\[
\boxed{11.44} \, \text{dollars}
\]