If the area of a parallelogram is given by the formula base times height, what happens to the area if the height is halved?

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Q: If the area of a parallelogram is given by the formula base times height, what happens to the area if the height is halved?

Solution: If the height of a parallelogram is halved, the area is also halved, as area = base × height.

Steps: 6

Step 1: Understand the formula for the area of a parallelogram, which is Area = base × height.
Step 2: Identify what happens when the height is halved. If the original height is H, then halving it gives us a new height of H/2.
Step 3: Substitute the new height into the area formula. The new area becomes Area = base × (H/2).
Step 4: Simplify the new area formula. This can be rewritten as Area = (base × H) / 2.
Step 5: Notice that (base × H) is the original area. Therefore, the new area is half of the original area.
Step 6: Conclude that if the height is halved, the area of the parallelogram is also halved.