Question

Breadth of a rectangle is 44 metre less than twice its length. If the perimeter of the rectangle is 122 meters, find its length and breadth

Answer 1

Thank you ,Hope you understood

Answer 2

Answer-

Its length and breadth are 35m and 26m respectively.

Solution-

Let us assume,

b = breadth of the rectangle,

l = length of the rectangle,

Given in the question, breadth of a rectangle is 44 meter less than twice its length.

So,

$\Rightarrow b=2l-44$

the perimeter of the rectangle is 122 meters, so

$\Rightarrow 2(l+b)=122$

Putting the value of b in the above equation,

$\Rightarrow 2(l+2l-44)=122$

$\Rightarrow 3l-44=61$

$\Rightarrow 3l=105$

$\Rightarrow l=35$

Its length is 35 m, putting this value in first equation,

$\Rightarrow b=2(35)-44$

$\Rightarrow b=70-44$

$\Rightarrow b=26$

Its breadth is 26 m