Question

Find the area and the perimeter of a square with diagonal 24 cm.
[Take root 2 = 1:41].​

Answer 1

Step-by-step explanation:

A=a2

d=√2a

A=1/2d2=1/2.24q=288cm2

Answer 2

Answer:

The area of square = 288 cm²

The perimeter of square = 68.084 cm

Step-by-step explanation:

Given: Length of diagonal of square = 24 cm.

To find: Area and Perimeter of the square.

Solution:

w.k.t., Length of diagonal of square with side 'a' is √2 a.

⇒ 24 = √2 a

⇒ a = 24/√2

⇒ a = 24/1.41 = 17.021

Now w.k.t., Area of square = a²

⇒ Area of square = (24 / √2)²

⇒ Area of square = 576 / 2

⇒ Area of square = 288 cm²

Also w.k.t., Perimeter of square = 4×a

⇒ Perimeter of square = 4 × 17.021

⇒ Perimeter of square = 68.084 cm