Question

The ratio of length and breadth of a rectangle is 3:1,and its perimeter is 36 cm.Find the length and breadth of the rectangle.

Answer 1

let length =3x cm
breadth=x cm
6x+2x=36 cm
8x=36 cm
x=9/2 cm
length=27/2 cm
breadth =9/2 cm

Answer 2

Answer:

Length = 13.5 cm.

Breadth = 4.5 cm.

Step-by-step explanation:

Assuming, the length and the breadth of the rectangle be l and b respectively.

Given:

• Ratio of length and breadth of the rectangle, l:b = 3:1.

• Perimeter of the rectangle, P = 36 cm.

Now, Let the length of the rectangle be 3x and the breadth be x.

We know, the perimeter of the rectangle is given by

$\rm P=2(l+b)\\36=2(3x+x)=2\times 4x=8x\\\Rightarrow x=\dfrac{36}8=4.5.$

Thus,The length of the rectangle, $\rm l=3\times 4.5=13.5\ cm.$

The breadth of the rectangle, $\rm b=x=4.5\ cm.$