Question

A rectangular ground's length is 3 times its breadth. If its perimeter is 72 meters, what is the length
and the breadth of the ground?

Answer 1

Answer:

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

Answer 2

Answer:

• Length is 27 m and
• Breadth is 9m

Step-by-step explanation:

Given that:

• Breadth = x

• Length = 3x

• Perimeter = 72m

To find:

• the length and the breadth of the ground?

Solution:

Using formula

Perimeter of rectangle = 2(l+b)

$\longrightarrow \: 72 = 2(3x + x)$

$\longrightarrow \: 72 = 2(4x)$

$\longrightarrow \: 72 = 8x$

$\longrightarrow \: x = \frac{72}{8}$

$\longrightarrow \: x = 9$

Since Breadth = 9m

Now,

Finding length

Length = 3x

$\longrightarrow \: 3 \times 9$

$\longrightarrow \: 27m$

According to the question we find, length = 27 m and breadth = 9m Ans.