Area and Perimeter Practice Test 4

Question : 8 of 40

Marks: +1, -0

If every side of equilateral triangle is doubled, the area of the new triangle is k times the area of the old one. Find the value of k.

Solution:

Area of equilateral triangle =

√3/4 a^2

Area of new equilateral triangle =

√3/4 × (2a)^2

4 . √3/4 a^2

Hence, k = 4

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