Question

c) The length and breadth of a rectangle are in the ratio 3:2. If the area of the rectangle
is 216sq.m, then find the length and breadth of the rectangle and also find the
perimeter.
(4)​

Answer 1

Answer:

L=108m,B=72m,P=360m

Step-by-step explanation:let length be 3xm

let breadth be 2x m

area of rectangle=LB

216m^2=3xm*2xm

216=6x

x=36

length=3x=3*36=108m

breadth=2x=2*36=72m

perimeter of rectangle=2[L+B]

                                      = 2[108+72]m

                                    = 360m

Answer 2

Understanding the Question:

Here, it is said that we have to find out the length and breadth of a rectangle if their are in the ratio of 3 : 2 . It is given that the Area of the rectangle is 216 m² . We also have to find out the perimeter of the rectangle .

How to do it?

First we will assume that the length is 3x and breadth is 2x . Then to find the value of x to get the length and breadth of a rectangle , we will apply the Formula of Area of the rectangle . By this we will get the value of x which is 6m . Then we will put the value of x and we'll get our Required Value of length and breadth. To Find out the Perimeter of the rectangle we will apply the Formula of perimeter of the rectangle . By this we'll get our Required Value.

Question:

The length and breadth of a rectangle are in the ratio 3:2. If the area of the rectangle is 216sq.m, then find the length and breadth of the rectangle and also find the perimeter.

Given:

• The length and breadth of a rectangle are in the ratio 3 : 2 .

• The area of the rectangle is 216 sq.m .

To Find:

• The length and breadth of the rectangle.

• The perimeter of the rectangle.

Formula Used:

• Area of the rectangle = length × breath

• Perimeter of the rectangle = 2 ( length + breath )

Full Solution:

Let , the length of the rectangle be 3x

the breath of the rectangle be 2x

Finding the value of x,

We know that,

Area of the rectangle = length × breadth

➟ 216 = 3x × 2x

➟ 216 = 6x²

➟ 6x² = 216

➟ x² = 216/6

➟ x² = 36

➟ x = √36

➟ x = 6 m

Finding the Length of the rectangle,

⁖ Length of the rectangle = 3x

➟ Length of the rectangle = 3 × 6

➟ Length of the rectangle = 18 m

Finding the Breath of the rectangle,

⁖ Breadth of the rectangle = 2x

➟ Breadth of the rectangle = 2 × 6

➟ Breadth of the rectangle = 12 m

Finding the Perimeter of the rectangle,

We know that,

➟ Perimeter of the rectangle = 2 ( length + breadth )

➟ Perimeter of the rectangle = 2 ( 18 + 12 )

➟ Perimeter of the rectangle = 2 × 30

➟ Perimeter of the rectangle = 60 m

Happy Learning