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Question

An equilateral triangle has length of each edge as 25cm. If the side of the triangle is increased by 30%, then find the percentage increase in its perimeter.


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Solution

Length of equilateral triangle=25cm

STEP 1:- First find the new length

increase of side=30%of original side

=30100×25

=7.5cm

New Length of the equilateral triangle=25+7.5

=32.5cm

STEP 2:- Find the perimeter

Formula to calculate the perimeter

The perimeter of an equilateral triangle=3×side

Old perimeter=3×side

=3×25

=75cm

New perimeter=3×side

=3×32.5

=97.5cm

STEP 3:- Now calculate the percentage increase in its perimeter.

Difference in perimeter=New perimeter - old perimeter

=97.5-75=22.5

percentage increase in its perimeter=DifferenceOrignalvalue×100%

=22.575×100%=0.3×100%=30%

Hence, the perimeter will increase by 30%.


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