Question

The length and breadth of a rectangular Park are in the ratio 4:3 and it's perimeter is 126. Find the area of the park

Answer 1

Step-by-step explanation:

The park is in rectangular shape

let length be 4x then breadth will be 3x

ATQ =>

Perimeter = 126

2(4x+3x) = 126

14x = 126

x = 9

so length will be 4x = 4(9) = 36

and breadth will be 3x = 3(9) = 27

Area = l×b

= 36×27

=972 sq.cm

Answer 2

Answer:

The area of the park is 972 cm² .

Step-by-step explanation:

Given :

Perimeter = 126 cm.

To Find :

The area of the park.

Solution :

Consider the :

The Length of the Park as - 4x

The Breadth of the Park as - 3x

We know that :

$\bigstar\;\boxed{\textsf{Perimeter of Rectangle}\;= 2(l+b)}}$

So,

$\sf\\ \\\implies 126 = 2(4x + 3x)\\ \\ \\ \implies \dfrac{126}{2} =7x\\ \\ \\\implies 63 = 7x\\ \\ \\ \implies x = \dfrac{63}{7} \\ \\ \\ \implies x = 9\: cm$

Hence we get,

• Length :

⇒ 9 × 4

⇒ 36 cm.

• Breadth :  

⇒ 9 × 3

⇒ 27 cm.

Now,

Finding area :

We know that :

$\bigstar\;\boxed{\sf Area = Length \times Breadth}}}$

So,

⇒ 36 × 27 cm.

⇒ 972 cm².

∴ The area of the park is 972 cm²