Subjects algebra

Window Perimeter De988D

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1. **State the problem:** We are given a storefront window with an area of 154 square feet and a height of 7 feet. We need to find the perimeter of the window. 2. **Recall the formulas:** - Area of a rectangle: $$\text{Area} = \text{width} \times \text{height}$$ - Perimeter of a rectangle: $$\text{Perimeter} = 2(\text{width} + \text{height})$$ 3. **Find the width:** Given area = 154 and height = 7, $$154 = \text{width} \times 7$$ Divide both sides by 7: $$\frac{154}{\cancel{7}} = \text{width} \times \frac{\cancel{7}}{7}$$ $$22 = \text{width}$$ 4. **Calculate the perimeter:** $$\text{Perimeter} = 2(\text{width} + \text{height}) = 2(22 + 7) = 2(29) = 58$$ 5. **Final answer:** The perimeter of the window is **58 feet**.