Question
A painting hung in an art gallery is a square with an area of 9 ft^2 what is the length of one side in inches
Answers
GPT-4o mini
To find the length of one side of a square when given the area, you can use the formula for the area of a square:
\[
\text{Area} = \text{side}^2
\]
Given that the area is 9 square feet, we can set up the equation:
\[
\text{side}^2 = 9
\]
To find the length of one side, take the square root of both sides:
\[
\text{side} = \sqrt{9} = 3 \text{ ft}
\]
Now, to convert feet to inches, we use the conversion factor that 1 foot = 12 inches. Therefore:
\[
\text{side} = 3 \text{ ft} \times 12 \text{ inches/ft} = 36 \text{ inches}
\]
Thus, the length of one side of the painting in inches is **36 inches**.
\[
\text{Area} = \text{side}^2
\]
Given that the area is 9 square feet, we can set up the equation:
\[
\text{side}^2 = 9
\]
To find the length of one side, take the square root of both sides:
\[
\text{side} = \sqrt{9} = 3 \text{ ft}
\]
Now, to convert feet to inches, we use the conversion factor that 1 foot = 12 inches. Therefore:
\[
\text{side} = 3 \text{ ft} \times 12 \text{ inches/ft} = 36 \text{ inches}
\]
Thus, the length of one side of the painting in inches is **36 inches**.
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