Question

If the perimeter of a rectangular field is 200m and it's breadth is 40 m , find it's length.​

Answer 1

ANSWER :-

LENGTH = 60 M

STEP - BY - STEP EXPLANATION :-

PERIMETER = 200 M

BREADTH = 40 M

LENGTH = ?

FORMULA OF PERIMETER = 2 X ( L + B )

200 = 2 X ( L + 40 )

200 = 2L + 80

200 - 80 = 2L

120 = 2L

$\frac{120}{2}$ = L

60 M = LENGTH

HOPE IT HELPS YOU !

Answer 2

Given : Perimeter of a rectangular field is 200m and it's breadth is 40m

❍ Let's say that the length is l

⠀⠀⠀⠀_________________________

$\mathfrak {\underline{ \dag \: According \: to \: the \: question \: : }}$

• Here, in this question value of perimeter and breadth is given. We'll put the formula of perimeter of the rectangle and solve this.

$\sf : \implies \: Perimeter_{(rectangle)} = 2(length + breadth)$

$\:$

$\sf : \implies \: 200 = 2(l + 40)$

$\:$

$\sf : \implies \: \cancel \dfrac{200}{2} = l + 40$

$\:$

$\sf : \implies \: 100 = l + 40$

$\:$

$\sf : \implies \: l = 100 - 40$

$\:$

$\sf : \implies \: \bold{ l = 60m}$

$\:$

$\sf\therefore{\underline{Hence, \: the \: length \: of \: the \: rectangular \: field \: is \: \bold{60m}. }}$