if the side of a triangle is increased by 30% while the height of triangle is decreased by 20% find the percent of increase in area
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Answer:
4%
Step-by-step explanation:
Let base=100x and height=100y
then area = 1/2*100x*100y=10000xy/2
= 5000xy
Now the base is increased by 30% and height of triangle is decreased by 20%
so base =130x and height=80y
so area=1/2*130x*80y=5200xy
% increase in area=100*(5200xy-5000xy)/5000xy
=100*200xy/5000xy
=20000xy/5000xy
=4%
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