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Question

(C) Let the breadth of the rectangular plot be $x \ ft$. Then,the length of the plot is $3x \ ft$.The area of the plot is given by $	ext{Length} 	im

Vedclass · Accepted Answer

$120$

Vedclass · Answer

(C) Let the breadth of the rectangular plot be $x \ ft$. Then,the length of the plot is $3x \ ft$.The area of the plot is given by $	ext{Length} 	imes 	ext{Breadth} = 3x 	imes x = 3x^2 \ ft^2$.It is given that a playground of $1200 \ ft^2$ occupies $\frac{1}{4}$ of the total area of the plot.Therefore,$\frac{1}{4} 	imes 	ext{Total Area} = 1200 \ ft^2$.$	ext{Total Area} = 1200 	imes 4 = 4800 \ ft^2$.Equating the two expressions for the area: $3x^2 = 4800$.$x^2 = \frac{4800}{3} = 1600$.$x = \sqrt{1600} = 40 \ ft$.Since the length is $3x$,the length $= 3 	imes 40 = 120 \ ft$.

The length of a rectangular plot of land is three times as much as its breadth. $A$ playground measuring $1200 \ ft^2$ occupies $\frac{1}{4}$ of the total area of the plot. What is the length of the plot in feet?

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