if the length of each side of an equilateral triangle is quadrupled.what percentage of area will be increased?
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Step-by-step explanation:
1500%
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Answer:
If the side of a triangle is x units then the area of the equilateral triangle is (√3)a²/4.
If the length of side is quadrupled, the the length becomes 4a.
The area now is (√3)(4a)²/4 = 16 {(√3)a²/4}.
Thus the new area will be 16 times the original area. or area increases to 1600%.
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