If the height of a triangle is decreased by 40% and its base is increased by 40%, what will be the percentage change in its area?
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Answer:
Step-by-step explanation:
Let b be the base and h be the height of the the triangle. Then area
A=12(b)(h)
height decreased by 40%
New height=0.6h
base increased by 40%
New base=1.4b
New area= 0.5(1.4b)(0.6h)=0.84×12(b)(h)=0.84A
∴the area is reduced by 16%
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