Question

Find the area of a square whoes diagonal is equal to 8.5cm

Answer 1

Answer:

The area of square = 36.125 cm²

Explanation:

Given :

• Diagonal of square = 8.5 cm

To find :

• Area of square

Solution :

Firstly, let us calculate the side of the square by using the formula of diagonal of square.

Using formula,

• Diagonal of square = √2a

where,

• a denotes the side of the square

Substituting the given values :

⇒ 8.5 = √2 × a

⇒ 8.5/√2 = a

• Side of the square = 8.5/√2 cm

Now, let us calculate the area of square by using the following formula :

• Area of square = a²

where,

• a denotes the side of the square

Substituting the given values :

⇒ Area of square = √(8.5/√2)²

⇒ Area of square = √(72.25/2)

⇒ Area of square = 36.125

Therefore,

• The area of square = 36.125 cm²