When the perimeter and area of a square are numerically equal, what is the measure of its side?
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Answer:
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Step-by-step explanation:
perimeter of square formula: side+side+side+side
area of square formula:side*side
measure of each side of square:perimeter/4
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Let the sides of the square be x unit
∴ Perimeter = 4x unit
∴ Area = x² unit
ATQ,
⇒ x² = 4x
⇒ x² / x = 4
⇒ x = 4
∴ The sides of the square measures 4 ( unit ) When the perimeter and area of a square are numerically equal.
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