Question

the length of a football ground is 40 metre if the ratio of length and breadth of the ground is 3 : 2 find the breadth of the ground​

Answer 1

Answer:

perimeter of rectangle = 2 x l x b

let the common multiple of length and breadth be X

so

40=2(3X +2X)

20=5X

X=4

therefore

length =3X =12m

breath =2X=8m

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Answer 2

The breadth of the ground​ is 8 meters.

Explanation:

We are given that : The length of a football ground is 40 meters.  (1)

Also, the ratio of length and breadth of the ground is 3 : 2.

Let 3x be the length and 2x be the breadth of the football ground.

Since the football ground is rectangular in shape .

Perimeter of rectangle= 2( length+ breadth)

⇒Perimeter of football ground= 2 (3x+2x)=2(5x)=10x   (2)

From (1) and (2) , we have

$10x=40\\\\ x= 4$ [Divide both sides by 10]

Then, breadth of the ground​ =2 x =2 (4)= 8 meters

Hence, the breadth of the ground​ is 8 meters.

#Learn more : The area of square playground is 225.6004m2. Find the perimeter of playground.

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