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If the height of a triangle is decreased by 40% and its base is increased by 40% the effect on its area is:

no change

8% decrease

16%increase

16% decrease

2
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no change

8% decrease

16%increase

16% decrease

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The change in area (if there is any) is given by, .

Here, and .

Hence, .

Therefore, Area decreases by 16%.

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Let initial base=b,

height=h

area, A₁ = 0.5 bh

after height is decreased by 40% and base is increased by 40%,

base = 1.4b

height = 0.6h

Area, A₂ = 0.5×1.4b×0.6h = 0.42 bh

A₂ - A₁ = 0.42 bh - 0.5 bh = -0.08 bh

-ve sign indicates that area decreased.

% decrease = (0.08bh/0.5bh)×100 =**16%**

height=h

area, A₁ = 0.5 bh

after height is decreased by 40% and base is increased by 40%,

base = 1.4b

height = 0.6h

Area, A₂ = 0.5×1.4b×0.6h = 0.42 bh

A₂ - A₁ = 0.42 bh - 0.5 bh = -0.08 bh

-ve sign indicates that area decreased.

% decrease = (0.08bh/0.5bh)×100 =