Question

The length of a rectangle exceeds its breadth by 5m If the perimeter of the rectangle is 74m.find the length and breadth of the rectangle.

Answer 1

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Answer 2

$\underline{ \blue { Dimensions \:of \: a \: rectangle : }}$

$Let \: breadth (b) = x \: m$

$Length (l) = ( x + 5 ) \:m$

$\orange {Perimeter = 74 \: m } \:(given)$

$\implies 2( l + b ) = 74$

$\implies 2[ (x + 5 ) + x ]= 74$

$\implies 2x + 5 = \frac{74}{2}$

$\implies 2x = 37 - 5$

$\implies 2x = 32$

$\implies x = \frac{32}{2}$

$\implies x = 16 \:m$

Therefore.,

$\red{ Breadth \:of \: the \: rectangle } \green { = 16 \:m }$

$\red{ Length \:of \: the \: rectangle }$

$= x + 5$

$= 16 + 5$

$\green { = 21 \:m }$

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