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A right triangle has an area of 36 square units. If you just get copies of this triangle using the scale factors below, what will the areas be?

A right triangle has an area of 36 square units. If you just get copies of this triangle-example-1
User PDKnight
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1 Answer

10 votes
10 votes

Answer:

324, 900, 9

Explanation:

When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!

Onto the answer, just follow the advice above:

36 * 3^2 = 36 * 9 = 324 square inches,

36 * 5^2 = 36 * 25 = 900 square inches,

36 * 0.5^2 = 36 * 0.25 = 9 square inches.

User Hezbullah Shah
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