If a square has a diagonal of length 6√2 cm, then the area of square is: Option 1: 48 cm^2 Option 2: 72 cm^2 Option 3: 16 cm^2 Option 4: 36 cm^2

Answer: 36 cm^2. Solution: Side = (Diagonal)/√2=6√2/√2=6 cm. Area = 6^2=36 cm^2.

Geometry

Quadrilaterals

Easy

If a square has a diagonal of length $6\sqrt{2}$ cm, then the area of square is:

48 cm $^2$

72 cm $^2$

16 cm $^2$

36 cm $^2$

✅ Correct Option: 4

Side = $\frac{\text{Diagonal}}{\sqrt{2}}=\frac{6\sqrt{2}}{\sqrt{2}}=6$ cm.

Area = $6^2=36$ cm $^2$ .

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(D) The diagonals of rhombus are equal and bisect each other.

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