Subjects geometry

Backyard Pool Area Fcb760

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1. **State the problem:** We need to find the area of Megan's backyard that is NOT covered by the pool. 2. **Identify the shapes and dimensions:** - Backyard is a rectangle with width $35$ feet and height $22$ feet. - Pool is a smaller rectangle inside the backyard with width $15$ feet and height $9$ feet. 3. **Formula for area of a rectangle:** $$\text{Area} = \text{width} \times \text{height}$$ 4. **Calculate the area of the backyard:** $$35 \times 22 = 770 \text{ square feet}$$ 5. **Calculate the area of the pool:** $$15 \times 9 = 135 \text{ square feet}$$ 6. **Calculate the area NOT covered by the pool:** $$\text{Backyard area} - \text{Pool area} = 770 - 135 = 635 \text{ square feet}$$ 7. **Answer:** The area of the backyard not covered by the pool is **635 square feet**. This corresponds to option C.