If the length of a rectangle is in increased by $30 %$ and the width is decreased by $20 %$ . Find the percentage by which its area changes.

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Solution

$\begin{matrix} A r e a o f r e c tan g l e \Rightarrow a r e a o f r e c tan g l e a f t e r i n c r e a sin g d e c r r e a sin g = 1.3 x \times 0.8 y = (1.04 x) \Rightarrow p e r c e n t a g e a r e a = x y - 1.04 p e r c e n t a g e c h a n g e = - 0.04 x y = 4 %, o f a r e a d e c r e a s e s . \end{matrix}$

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If the length of a rectangle is in increased by 30% and the width is decreased by 20%. Find the percentage by which its area changes.

Areaofrectangle⇒areaofrectangleafterincreasingdecrreasing=1.3x×0.8y=(1.04x)⇒percentagearea=xy−1.04percentagechange=−0.04xy=4%,ofareadecreases.

If the length of a rectangle is in increased by $30 %$ and the width is decreased by $20 %$ . Find the percentage by which its area changes.