Word problem involving the area of a rectangle: Problem type 2 Heather wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 9 feet. Suppose glass costs \$6 for each square foot. How much will the glass cost to replace the window? \$ 15
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To find the cost of replacing the window, we first need to calculate the area of the square window. The area of a square is found by squaring the length of one side, so \(9 \text{ feet} \times 9 \text{ feet} = 81 \text{ square feet}\). Now, multiplying the area by the cost per square foot, we get \(81 \text{ square feet} \times \$6 = \$486\). So, the glass will cost \$486 to replace the window. Avoiding common mistakes is essential in word problems like this! One common error is miscalculating the area by forgetting to square the side length, which leads to incorrect totals. Additionally, ensure you confirm the cost per square foot before multiplying. Double-checking your calculations can save you from expensive errors!