Question

the length of the side of a square is 50 cm and yhe breadth of a rectangle is 25cm.if the area of the square and the rectangle are equal,find the length of the rectangle​

Answer 1

Length x 25 = (50)²

Or Length = 2500 ÷ 25

Hence length = 100 cm

Answer 2

Answer:

The Length of the Rectangle is 100 cm.

Step-by-step explanation:

Given :

Side of the Square = 50 cm

Breadth of the Rectangle = 25 cm

Area of the rectangle = Area of the Square

To Find :

The Length of the Rectangle

Solution :

First find the area of the Square

Area of the Square = $\sf{Side \times Side}$

⇒ 50 × 50

⇒ 2500

$\rule{300}{1}$

As it is mentioned in the question,

Area of the square = Area of the Rectangle  

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

⇒ 2500 = x × 25

⇒ 2500 = 25x

⇒ x = 2500/25

⇒ x = 100

∴ The Length of the Rectangle is 100 cm.

$\rule{300}{1}$

Verification :-

⇒ 2500 = 100 × 25

⇒ 2500 = 2500

∴ The Length of the Rectangle is 100 cm.