# If the base of a triangle is increased by 10% while its height decreased by 10%, find the area of the new triangle as a percentage of the original one.

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by naveenMehta

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by naveenMehta

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a=

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If the new base is 10% greater, the new b is (1.1)b.

If the new height is 20% less, the new h is (0.8)h.

Now substituting, we get

= a=

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a=

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Notice how the original area is only 88% of what it was...

So there was a 12% decrease in area.