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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Ai = 1/2 × bi × hi
hf = 60/100 hi
bf = 140/100 bi
Af = 1/2 × bf × hf = 1/2 × 140/100 bi × 60/100 hi
= 21/25 Ai ( Note that Af < Ai )
So,
Af = Ai - x% of Ai
This gives x = 16.
Therefore, the final area is reduced by 16%.
hf = 60/100 hi
bf = 140/100 bi
Af = 1/2 × bf × hf = 1/2 × 140/100 bi × 60/100 hi
= 21/25 Ai ( Note that Af < Ai )
So,
Af = Ai - x% of Ai
This gives x = 16.
Therefore, the final area is reduced by 16%.
lambture:
what is meant by Ai
and also Af
is it area of first triangle
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