Question

The area of a rectangle is same as the area if a square .the length of the rectangle is 80cm and the breadth is 20cm.find the side of square.​

Answer 1

Explanation:

area of rectangle is l*b

80*20= 1600

aarea of square is s*s

Side of squre is 40

Answer 2

Given :

• The area of a rectangle is same as area of a square.
• The length of rectangle = 80 cm.
• The breadth of rectangle = 20 cm.

To Find :

• The side of square.

Solution :

According to the question -

• Area of rectangle = Area of square

$\longrightarrow$ Length × Breadth = (Side)²

$\longrightarrow$ 80 × 20 = (side)²

$\longrightarrow$ 1600 = (side)²

$\longrightarrow$ √(1600) = Side

$\longrightarrow$ Side = √(40 × 40)

$\longrightarrow$ Side = 40

• Hence, the side of the square = 40 cm.

Verification :

• Area of rectangle = Area of square

$\longrightarrow$ Length × Breadth = (Side)²

$\longrightarrow$ 80 cm × 20 cm = (40 cm)²

$\longrightarrow$ 1600 cm² = 1600 cm²

⠀⠀ LHS = RHS

Hence Verified !