Question

The length of rectangular plot is 5 M more than its breadth .if the perimeter of the plot is 40 m. find the dimensions of the plot.​

Answer 1

${\large{\bf{\red{\clubs{\underline{Given :}}}}}}$

Length of a rectangular plot is 5m more than its breadth and its perimeter is 40m.

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${\large{\bf{\blue{\clubs{\underline{To Find :}}}}}}$

Find the dimensions of the rectangular plot.

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${\large{\bf{\orange{\clubs{\underline{Formula \: used :}}}}}}$

${\pink{\sf{Perimeter \: of \: rectangle = 2(L + B) }}}$

Where,

${\sf{\purple{L = length}}}$

${\sf{\purple{B = breadth }}}$

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${\large{\bf{\green{\clubs{\underline{Solution :}}}}}}$

Let breadth be x :

Breadth = x

Length = x + 5

${\tt{\orange{2(L+B) = 40m}}}$

${\sf{\orange{40m = 2 (x + x+5)}}}$

${\sf{\orange{40m = 2 (2x + 5) }}}$

${\sf{\orange{40m = 4x + 10}}}$

${\sf{\orange{4x = 40 -10}}}$

${\sf{\orange{x = \frac{30}{4} }}}$

${\sf{\purple{\boxed{X = 7.5}}}}$

Hence,

${\tt{\red{\boxed{Breadth= 7.5m}}}}$

${\tt{\red{\boxed{Length = 7.5 + 5.0 = 12.5m}}}}$

${\large{\mathfrak{\green{ \: \: \: \: \: \: \: Which \: is \: the \: required }}}}$

${\large{\mathfrak{\green{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Answer }}}}$

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