The length of a rectangular hall is frac{4}{3 | vedclass

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(D) Let the breadth of the rectangular hall be $x \, m$.According to the problem,the length is $\frac{4}{3}$ of its width,so length $= \frac{4x}{3} \,

Vedclass · Accepted Answer

$5$

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(D) Let the breadth of the rectangular hall be $x \, m$.According to the problem,the length is $\frac{4}{3}$ of its width,so length $= \frac{4x}{3} \, m$.The area of a rectangle is given by $	ext{length} 	imes 	ext{breadth} = 	ext{Area}$.Substituting the values: $\frac{4x}{3} 	imes x = 300$.$\frac{4x^2}{3} = 300$.$x^2 = 300 	imes \frac{3}{4} = 75 	imes 3 = 225$.$x = \sqrt{225} = 15 \, m$.So,the breadth is $15 \, m$.The length is $\frac{4}{3} 	imes 15 = 20 \, m$.The difference between the length and the breadth is $20 \, m - 15 \, m = 5 \, m$.

The length of a rectangular hall is $\frac{4}{3}$ of its width. If the area of the hall is $300 \, m^2$,what is the difference between the length and the breadth? (in $m$)

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