Question

If the sides of an equilateral triangle is increased by 30 % then its area increased by how much

Answer 1

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Answer 2

Step-by-step explanation:

Explanation:

Let the Initial side of an equilateral triangle be 'x' cm.

Then, Initial area = (√3/4) x² cm.

Given that Side is increased b 30%.

Then, Final area = (√3/4) * 130% of x

                           = (√3/4) * (130x/100)²

                           = (√3/4) * (13x/10)²

                           = (169√3x²)/400

∴ Increase in area = (169√3x²/400 - √3x²/4)

                              = (69√3x²)/400

∴ Increase% = (69√3x²/400  * 4/√3x² * 100)%

                    = 69%.

Therefore, Increase in area is 69%.

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