Question

find the length of each side of a square whose area is equal to the area of a rectangle of lengths 14.4 metre and breadth 3.6 metres​

Answer 1

Required Answer :

★ The side of the square = 7.2 m

Given :

• Area of square is equal to the area of rectange
• The dimensions of rectangle are as follows :-
• Length of the rectangle = 14.4 m
• Breadth of the rectangle = 3.6 m

To find :

• Length of each side of the square

Solution :

Firstly, we will calculate the area of rectangle.

Using formula,

• Area of rectangle = l × b

where,

• l denotes the length of the rectangle
• b denotes the breadth of the rectangle

Substituting the given values :

⇒ Area of rectangle = 14.4 × 3.6

⇒ Area of rectangle = 51.84

Area of the rectangle = 51.84 m²

Area of rectangle = Area of square [Given]

So, area of square = 51.84 m²

Using formula,

• Area of square = a²

where,

• a denotes the side of the square

Substituting the given values :

⇒ 51.84 = a²

⇒ Taking square root on both the sides :

⇒ √51.84 = a

⇒ √(5184/100) = a

⇒ √(72 × 72/10 × 10) = a

⇒ ± 72/10 = a

⇒ ± 7.2 = a

⇒ As we know, the side of square cannot be negative. So, the negative sign will get rejected.

⇒ ± 7.2 Reject -ve = a

⇒ 7.2 = a

Therefore, the side of the square = 7.2 m