Question

length of a rectangle exceeds it's breadth by 4cm if the perimeter of the rectangle is84m find its length and breadth​

Answer 1

Solution

• let the breadth of the rectangle be x cm
• then, length of the rectangle = x + 4 cm

we know that,

$\boxed{ \orange{\bold{perimeter \: of \: rectangle = 2(l + b)}}}$

and here it is given that,

perimeter of rectangle = 84 m

$\bold{: \implies 2(x + x + 4) = 84} \\ \\ \bold{: \implies 2x + 2x + 8 = 84} \: \\ \\ \bold{: \implies 4x + 4 = 84 } \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{ : \implies 4x = 84 - 8 } \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies \: x = \cancel\frac{76}{4} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies \: x = 19 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, breadth of the rectangle is 19 m

then,

length of the rectangle = 19 + 4 = 23 m

hence, length and breadth of the rectangle are 23 m and 19 m respectively