If the side of a square is m, find an expression for the perimeter and area of the square.
A
Perimeter =m
Area =m2
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B
Perimeter =2m
Area =m2
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C
Perimeter =3m
Area =m2
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D
Perimeter =4m
Area =m2
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Solution
The correct option is D Perimeter =4m
Area =m2 We are given with a square of side m as shown:
Perimeter of a square = Sum of all its sides =Side+Side+Side+Side =4×Side =4×m (As the side of the square is m)
Perimeter of the square =4m
Area of a square =Side×Side =m×m =m1+1 (As am×an=am+n) =m2
Area of the square =m2
The perimeter of the square of side m is 4m and its area is m2.
Therefore, option (d.) is the correct answer.