Question

The length of a rectangle in twice its breadth . If the perimeter is 72 meters , find the length and breadth of the rectangl​

Answer 1

Step-by-step explanation:

W=breadth; L=length=2W P=perimeter=2(L+W)=72m

P=2(L+W)

72m=2(L+W) Divide each side by 2

36m=L+W Substitute for L

36m=2W+W

36m=3W Divide each side by 3.

12m=W ANSWER 1: The breadth is 12 meters.

L=2W=2(12m)=24m ANSWER 2: The length is 24 meters.

CHECK:

P=2(L+W)

72m=2(24m+12m)

72m=2(36m)

72m=72m

Answer 2

Step-by-step explanation:

Perimeter of recatngle = 2(length+breadth)

Here it is given that length is twice of breadth

Let 'L' be the length and 'b' be the breadth then

It is given that L=2b

And as per given information

2(L+b)=72

We can replace 'L' with '2b' because it's twice of b

Then we will get

2(2b+b)=72

2(3b)=72

6b=72

b=72/6=12

Therefore Length= 2×12=24