Mathematics
Grade10
Easy
Question
Suppose the area of a square is 84 sq.cm, find the side length.
Hint:
A square is a rectangle whose all the sides are equal.
The correct answer is: ![2 square root of 21](data:image/png;base64,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)
We are given the area of a square is 84 sq. cm. We have to find the side length.
We have,
Area of a square = 84 cm².
=> (side)² = 84
=> side = √84
=> side = 2√21 cm.
Hence, the correct option is C.
Area of a rectangle is length × breadth. Since, for a square both length and breadth are equal so its area is (side)².