Subjects geometry

Solar Panels Fit 921Eb6

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1. **State the problem:** We have a structure that is 14 ft by 14 ft in area and 16 ft in height. We want to find out how many solar panels can fit on the structure. 2. **Assumptions:** Typically, solar panels are placed on the roof or a flat surface. We will assume the panels are placed on the 14 ft by 14 ft roof area. 3. **Calculate the roof area:** $$\text{Area} = 14 \text{ ft} \times 14 \text{ ft} = 196 \text{ ft}^2$$ 4. **Determine the size of one solar panel:** A common solar panel size is about 65 inches by 39 inches. Convert to feet: $$65 \text{ in} = \frac{65}{12} \approx 5.42 \text{ ft}$$ $$39 \text{ in} = \frac{39}{12} = 3.25 \text{ ft}$$ 5. **Calculate the area of one solar panel:** $$5.42 \text{ ft} \times 3.25 \text{ ft} = 17.615 \text{ ft}^2$$ 6. **Calculate how many panels fit:** $$\frac{196 \text{ ft}^2}{17.615 \text{ ft}^2} \approx 11.13$$ Since we cannot have a fraction of a panel, the maximum number of panels that fit is 11. **Final answer:** The space can fit **11 solar panels**.