Question

The perimeter of a rectangle is 78cm. Its length is 3cm more than twice its breadth. Find the length and the breadth of the rectangle.

Answer 1

Perimeter of rectangle =78cm
Let length be x
Than breadth be=2x+3
Perimeter of rectangle=2{l+b}
78=2{x+2x+3}
78=2{3x+3}
78/2=3x+3
39=3x+3
39-3=3x
36=3x
36/3=x
12=x

So length=x=12cm
Breadth=2x+3=2{12}+3
=24+3
=27cm

Answer 2

Let the breadth be x
Let the length be 2x +3
A/Q
78=2,{x + 2x+3}
78=2x+4x+6
78= 6x+6
78-6=6x
72=6x
x=72/6
x=12
breadth =12
length =2×x+3 =2×12+3
=24+3=27