Question

. If the diagonal of a square is √8 metre , then its area is (a) 8 m sq (b) 4m sq (c) 16m sq (d) 6m sq​

Answer 1

Option B → 4 m sq

Step-by-step explanation:

Diagonal of ⬜ = √8

√2 * side = √8

Side = √8 / √2

Side = 2√2 / √2

Side = 2 m

Area of ⬜ = (Side)²

Area = (2)²

Area = 4 m sq.

Answer 2

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Here, ABCD is a square.

Let AB=BC=CD=AD=a         [ All sides of square are equal ]

⇒  AC=8cm               [ Given ]

In right angled △ABC,

⇒  (AC)2=(AB)2+(BC)2          [ By Pythagoras theorem ]

⇒  (8)2=a2+a2

⇒  64=2a2

⇒  a2=32

⇒  Area of a square =a2=32cm2