Question

The diagonal of the square is 10 square root 2 cm. Find its perimeter and area.

Answer 1

Answer:

area=100cm^2 & perimeter=40cm

Step-by-step explanation:

diagonal of square=10root2cm

let one of its side be a. Therefore a^2+a^2=200

therefore a=10

are=a^2=100 and perimeter=4a=40

Answer 2

Solution:-

Given:-

• Diagonal of Square = 10√2 cm.

To Find:-

• Perimeter of Square = ?
• Area of Square = ?

Find:-

We know that, All the sides are equal in a Square and each angle is equal to 90°.

Let the sides of an Square be "x" cm.

∴ By Pythagoras Theorem,

=) ( 10√2)² = x² + x²

=) 100×2 = 2x²

=) x² = 100

=) x = √100

=) x = 10

Hence,

• Sides of an Square = 10cm.

Now,

Perimeter of Square = 4 × Side

=) Perimeter = 4 × 10

=) Perimeter = 40cm

And

Area of Square = ( side)²

=) Area = 10²

=) Area = 100 cm²

Hence,

• Perimeter of Square is 40cm.
• Area of Square is 100cm².