Question

The sides of a rectangular park are in the ratio 4 : 3. If its perimeter is 392 m, find its length and breadth​

Answer 1

Step-by-step explanation:

Given :

Ratio of length and breadth of a rectangular park = 4 : 3

Perimeter of rectangular park = 392 m

To find :

Length

Breadth

According to the question,

Let,

The length be 4x

Breadth be 3x

We know,

Perimeter of rectangle = 2(l + b)

Where,

l = length

b = breadth

Now,

➝ Perimeter of rectangle = 2(l + b)

➝ 392 = 2(4x + 3x)

➝ 392 = 2(7x)

➝ 392 = 14x

➝ 392 ÷ 14 = x

➝ 28 = x

★ Length :

➝ 4x

➝ 4(28)

➝ 112 m

★ Breadth :

➝ 3x

➝ 3(28)

➝ 84 m

So,

Length = 112 m

Breadth = 84 m

_____________________

Answer 2

Step-by-step explanation:

The sides of a rectangular park are in the ratio 4 : 3. If its perimeter is 392 m, find its length and breadth.

As , The sides of a rectangular park are in the ratio 4 : 3.

Length = 4x

Breadth = 3x

Perimeter = 392 m

²Formula for perimeter of rectangle

\cal\green {Perimeter = 2(L+B)}Perimeter=2(L+B)

392 = 2(4x+3x)

392 = 14x

\begin{gathered}x = \frac{392}{14} \\ \\ x = 28\end{gathered}

x=

14

392

x=28

4x = 4×28 = 112

3x = 84

Side of rectangle = 112 m and 84 m

Length = 112 m

Breadth = 84 m