Question

The diagonal of a square is 12 cm long. Find its area and perimeter. The area of a square field is 32 m2. Find its diagonal.​

Answer 1

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Answer:

Let the side of the square =a cm.

The diagonal of a square divides it into two equal right angled triangles.

Hence, diagonal forms the hypotenuse of a right angled triangle, with the other

two sides being the sides of the square.

Hence, diagonal =

a 2+a 2​

=12cm=>2a

2

=144=>a

2

=72=>a=6

2

Area of the square =a

2

=(6 2 )

2

=72 sq cm

Step-by-step explanation:

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