Question

The area of a square park and a rctangular park are equal if the side of the square is 60 cm and the breadth of the rectangle is 25.cm find the lenght of the rectangle .also find the perimeter of the rectangle
​

Answer 1

Answer:

The Perimeter of the rectangle is 338 cm.

Step-by-step explanation:

Given :

Area of the Square park = Area of the rectangualr park

Side of the Square = 60 cm

Breadth of the rectangle = 25 cm

To find :

The length and Perimeter of the rectangle

Solution :

★ $\textsf{\underline{\underline{Area of the Square -}}}$

$\sf{Area = Side \times Side}$

$\sf{\implies} \: 60 \times 60 \\ \\ \sf{\implies} \: {3600 \: cm}^{2}$

As the area of the Square is 3600 cm² the rectangle's area is also 3600 cm².

$\rule{300}{1.5}$

★ $\textsf{\underline{\underline{Length of the rectangle -}}}$

Let the Length of the rectangle be y

$\sf{Area = Length \times Breadth}$

$\sf{\implies} \: 3600 = y \times 25 \\ \\ \sf{\implies} \: y = \dfrac{3600}{25} \\ \\ \sf{\implies} \: y = 144$

Length = 144 cm

$\rule{300}{1.5}$

★ $\textsf{\underline{\underline{Perimeter of the rectangle -}}}$

$\sf{Perimeter = 2(Length + Breadth)}$

$\sf{\implies} \: 2(144 + 25) \\ \\ \sf{\implies} \: 288 + 50 \\ \\ \sf{\implies} \: 338$

Perimeter = 338 cm

$\therefore$ The Perimeter of the rectangle is 338 cm.

Answer 2

Answer:

The length of the the rectangle is 144 cm.

Therefore, the perimeter of the rectangular park is 338 cm.

Step-by-step explanation:

Given:

Area of the square park = Area of the rectangular park

Sides of the square = 60 cm

Breadth of the rectangle = 25 cm

To Find Out:

The length and perimeter of the rectangle.

Solution:

As we know that, the area of the square is equal to the square of the side of the square.

=> Area of Square = (Side)²

=> Area of Square = (60)² = 3600 cm²

.°. Area of Square = 3600 cm²

As the area of the square is equal to the area of the rectangular park.

So, the Area of the rectangular park = 3600 cm²

Now, length of the rectangle is:

Let the length of the rectangle be y.

[ Area = Length × Breadth ]

=> 3600 = y × 25

=> 3600 = 25y

=> y = 3600 / 25

.°. y = 144 cm

So, the length of the the rectangle is 144 cm

Now, find the perimeter of the rectangle.

[ Perimeter = 2 ( L + B) ]

=> 2 (144 + 25)

=> 288 + 50

=> 338 cm

Therefore, the perimeter of the rectangular park is 338 cm.