If the length and breadth of a rectangular fi | vedclass

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(A) Let the initial length be $L$ and breadth be $B$. The initial area is $A = L 	imes B$.Let the percentage increase in length be $m = 20 \%$ and th

Vedclass · Accepted Answer

$25 \%$

Vedclass · Answer

(A) Let the initial length be $L$ and breadth be $B$. The initial area is $A = L 	imes B$.Let the percentage increase in length be $m = 20 \%$ and the percentage increase in breadth be $n = x \%$.The total percentage increase in area is given by the formula: $	ext{Total Increase} = m + n + \frac{m 	imes n}{100}$.Given that the total increase in area is $50 \%$,we have:$20 + x + \frac{20x}{100} = 50$$x + \frac{x}{5} = 50 - 20$$\frac{6x}{5} = 30$$x = \frac{30 	imes 5}{6} = 25 \%$.Thus,the breadth was increased by $25 \%$.

If the length and breadth of a rectangular field are increased,the area increases by $50 \%$. If the length is increased by $20 \%$,by what percentage was the breadth increased?

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