Subjects geometry

Parallelogram Height 243800

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1. **State the problem:** We are given a parallelogram with an area of 22 cm² and one side length of 5 cm. We need to find the length of the height corresponding to that side. 2. **Formula for the area of a parallelogram:** $$\text{Area} = \text{base} \times \text{height}$$ where the base is the length of one side, and the height is the perpendicular distance from that side to the opposite side. 3. **Given values:** Base $b = 5$ cm Area $A = 22$ cm² Height $h = ?$ 4. **Use the formula to find the height:** $$A = b \times h$$ $$22 = 5 \times h$$ 5. **Solve for $h$:** $$h = \frac{22}{5}$$ 6. **Simplify the fraction:** $$h = 4.4$$ 7. **Interpretation:** The height of the parallelogram corresponding to the base of 5 cm is 4.4 cm. **Final answer:** $$\boxed{4.4 \text{ cm}}$$