The length of a rectangular plot is 8 , m gre | vedclass

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(C) Let the breadth of the rectangular plot be $x \, m$. Then,the length of the rectangular plot is $(x + 8) \, m$.Given that the area of the plot is

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$22 \, m$

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(C) Let the breadth of the rectangular plot be $x \, m$. Then,the length of the rectangular plot is $(x + 8) \, m$.Given that the area of the plot is $308 \, m^{2}$,we have:Area $=$ Length $	imes$ Breadth$x(x + 8) = 308$$x^{2} + 8x - 308 = 0$To solve this quadratic equation,we factorize it:$x^{2} + 22x - 14x - 308 = 0$$x(x + 22) - 14(x + 22) = 0$$(x + 22)(x - 14) = 0$This gives $x = -22$ or $x = 14$.Since the breadth cannot be negative,we take $x = 14 \, m$.Therefore,the length of the rectangular plot is $x + 8 = 14 + 8 = 22 \, m$.

The length of a rectangular plot is $8 \, m$ greater than its breadth. If the area of the plot is $308 \, m^{2}$,find the length of the plot.

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