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Isaac wants to put a piece of privacy film on his bathroom window. He calculates the window to have an area of 1960 square inches. He then learns that privacy film is sold by the square yard. Use the Unit Conversion Table to complete the conversion. Unit Conversion Table What is the area of the window in square yards? Write final value to one decimal place. Select an answer \( \vee \) If privacy file is only sold in square yard increments, how many square yards should Isaac purchase?

Ask by Wilson Tucker. in the United States
Mar 11,2025

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Answer

The window area is approximately 1.5 square yards. Isaac should purchase 2 square yards of privacy film.

Solution

To convert the area of the window from square inches to square yards, we need to use the conversion factor between square inches and square yards. Given: - Area of the window in square inches = 1960 square inches Conversion factor: 1 square yard = 1296 square inches To convert the area from square inches to square yards, we can use the conversion factor as follows: \[ \text{Area in square yards} = \frac{\text{Area in square inches}}{\text{Conversion factor}} \] Substitute the given values into the formula: \[ \text{Area in square yards} = \frac{1960 \text{ square inches}}{1296 \text{ square inches/square yard}} \] Now, we can calculate the area in square yards. Calculate the value by following steps: - step0: Calculate: \(\frac{1960}{1296}\) - step1: Reduce the fraction: \(\frac{245}{162}\) The area of the window in square yards is approximately 1.512 square yards. Since privacy film is only sold in square yard increments, Isaac should purchase 2 square yards of privacy film to ensure he has enough to cover the entire window.

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To convert from square inches to square yards, you first need to remember that 1 square yard equals 1296 square inches (since 1 yard = 36 inches, and 1 square yard = 36 inches x 36 inches). Now, to find the area of the bathroom window in square yards, simply divide the area in square inches by the conversion factor: 1960 square inches ÷ 1296 square inches/square yard ≈ 1.51 square yards. Rounding this to one decimal place gives Isaac an area of approximately 1.5 square yards. Since privacy film is sold in whole square yard increments, Isaac should purchase 2 square yards to ensure complete coverage of the window. This gives him a little extra just in case!

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