Question

The diagonal of a squar is 24m. find its area

Answer 1

In this section we will discuss about Area of Square.
The formulas related to the above topic are as follows 

Let ‘a’ be the length of each side of a square. Then, 

 
• Perimeter = 4a units
• Area = a 2 =( Perimeter/4) 2 sq. units 
• Area = ½ (Diagonal) 2 sq.units
• Side of the square = √(Area) unit 
• Diagonal = √ a unit 

Some solved examples on Area - Perimeter of Square 
1) Find the area and perimeter in square centimeters, of a square whose side is (i) 2.4 dm (ii) 20 mm 
(i) We have,
1 dm = 10 cm
Side of the square = 2.4 dm = (2.4 x 10) cm = 24 cm
Area of the square = (side) 2 
= 24 2 
= 576 cm 2 
Perimeter of the square = 4 x side 
= 4 x 24
= 96 cm

(ii) We have,
1 mm = 0.1 cm
Side of the square = 20 mm = (20 x 0.1) cm = 2 cm
Area of the square = (side) 2 
= 2 2 
= 4 cm 2 
Perimeter of the square = 4 x side 
= 4 x 2
= 8cm


hope help u with example

Answer 2

Given

Diagonal of square(D) =24m

Area of square = a²=d²/2


=24²/2

=576/2

=288m²

This is ur ans hope it will help you in case of any doubt comment below.