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The Perimeter of a Square is Numerically Equal to Its Area. Find Its Area. - Mathematics

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Sum

The perimeter of a square is numerically equal to its area. Find its area.

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Solution

Let each side of the square be x cm.
Its perimeter = 4x,
Area = x2
By the given condition 4x = x2
=> x2 – 4x = 0
=> x (x – 4) = 0
=> x = 4 [x ≠ 0]
Area = x2 = (4)2 = 4 x 4 = 16 sq.units.

Concept: Perimeter of Squares
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 20 Area of a Trapezium and a Polygon
Exercise 20 (B) | Q 11 | Page 227
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