Question

please solve
if the breadth of rectangle in three fourth of it's length and perimeter is 140cm,find the length and breadth of rectangle ​

Answer 1

Let lebgth be x

• Breadth=3x/4

$\\ \rm\Rrightarrow Perimeter=2(L+B)$

$\\ \rm\Rrightarrow 2(x+\dfrac{3x}{4})=140$

$\\ \rm\Rrightarrow 2\left(\dfrac{4x+3x}{4}\right)=140$

$\\ \rm\Rrightarrow 2\left(\dfrac{7x}{4}\right)=140$

$\\ \rm\Rrightarrow \dfrac{14x}{4}=140$

$\\ \rm\Rrightarrow 14x=140(4)$

$\\ \rm\Rrightarrow 14x=560$

$\\ \rm\Rrightarrow x=\dfrac{560}{14}$

$\\ \rm\Rrightarrow x=40$

• Length=40cm
• Breadth=3(40)/4=120/4=30[