A triangle has a base of 4 units and a height of 3 units. Mark draws the triangle again but doubles the height. How does the area of the triangle change?

The triangle’s area is one-half times its base times its height. Originally, the area is ½ × 4 × 3 = 6 square units. Doubling the height makes it 6 units, so the new area is ½ × 4 × 6 = 12 square units. The increase is 12 − 6 = 6 square units, so the area increases by 6 square units.

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