A parallelogram is a four-sided shape (a quadrilateral) where both pairs of opposite sides are parallel and equal in length. To find the area of a parallelogram, you simply multiply the length of its base by its height. The height is the perpendicular distance from the base to the opposite side. Remember, it's crucial to use the perpendicular height, not the length of the slanted side!
Match each term with its correct definition:
| Term | Definition |
|---|---|
| 1. Base | A. The perpendicular distance from the base to the opposite side. |
| 2. Height | B. A four-sided shape with both pairs of opposite sides parallel. |
| 3. Area | C. The side of the parallelogram to which the height is measured. |
| 4. Parallelogram | D. The amount of space inside a two-dimensional shape. |
| 5. Perpendicular | E. Forming a right angle (90 degrees). |
The area of a parallelogram is found by multiplying the ______ by the ______. It's important to use the ______ height, which is the distance measured at a ______ angle from the base to the opposite side. A parallelogram is a ______.
Imagine you have two parallelograms with the same base length. If one parallelogram has a height twice as large as the other, how will their areas compare? Explain your reasoning.
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