Question

the length of a rectangle is increased by 10%,where as its breadth is decreased by 10%. what is the consequent percentage change in the area of the rectangle?

Answer 1

20% change the area of rectangle. hope its right answer

Answer 2

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$z = k {x}^{m} {y}^{n} ....... \\ where \\ k \: m \: n \: are \: constant. \\ \\ then \: \\ \%change \: in \: z \: = m(\%change \: in \: x) + n(\%change \: in \: y) \\ \\ here : \\ \\ area \: of \: rectangle \: = {l}^{1} {b}^{1} \\ \\ therefore \\ \%change \: in \: area \: = 1 \times 10\% + 1 \times 10\% \\ \\ = 20\%$
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