1. **State the problem:** Jessie is planting a trapezoid-shaped garden with bases and height given. We need to find the area of the trapezoid. 2. **Formula for the area of a trapezoid:** $$\text{Area} = \frac{(\text{Base}_1 + \text{Base}_2)}{2} \times \text{Height}$$ 3. **Identify given values:** - Base one, $\text{Base}_1 = 12.5$ feet - Base two, $\text{Base}_2 = 0.5 \times 12.5 = 6.25$ feet - Height, $h = 10$ feet 4. **Calculate the area:** $$\text{Area} = \frac{(12.5 + 6.25)}{2} \times 10$$ 5. **Simplify inside the parentheses:** $$12.5 + 6.25 = 18.75$$ 6. **Substitute back:** $$\text{Area} = \frac{18.75}{2} \times 10$$ 7. **Simplify the fraction:** $$\text{Area} = 9.375 \times 10$$ 8. **Multiply:** $$\text{Area} = 93.75$$ 9. **Answer:** The area of the garden is **93.75 square feet**. --- 1. **State the problem:** Michael compares two discount methods on a $495 television to see if they yield the same sale price. 2. **Manager's method:** - First discount: 20% off original price - Second discount: 25% off the reduced price 3. **Michael's method:** - Single discount: 45% off original price 4. **Calculate manager's sale price:** First discount price: $$495 - 0.20 \times 495 = 495 \times (1 - 0.20) = 495 \times 0.80 = 396$$ Second discount price: $$396 - 0.25 \times 396 = 396 \times (1 - 0.25) = 396 \times 0.75 = 297$$ 5. **Calculate Michael's sale price:** $$495 - 0.45 \times 495 = 495 \times (1 - 0.45) = 495 \times 0.55 = 272.25$$ 6. **Compare prices:** - Manager's final price: $297$ - Michael's final price: $272.25$ 7. **Conclusion:** Michael is incorrect because his method results in a lower price than the manager's method. **Answer:** A) No, Michael’s method has a greater effect on the sale price.