If the perimeter of a square is 16 cm- then its area isa 4 cm 2b 8 cm 2c 16 cm 2d 12 cm 2

Let a be the side of the square. Then Perimeter = 4a #8658; 16 = 4a #8658; a = 4 cm Area of the square = a2 = 42 = 16 cm2 Hence, the correct option is (c) ...

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Standard IX

Mathematics

Geometric Estimation Value of Square Root

If the perime...

Question

If the perimeter of a square is 16 cm, then its area is

(a) 4 cm² (b) 8 cm² (c) 16 cm² (d) 12 cm²

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Solution

Let a be the side of the square. Then
Perimeter = 4a
$⇒$ 16 = 4a
$⇒$ a = 4 cm
Area of the square = a² = 4² = 16 cm²
Hence, the correct option is (c).

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If the perimeter of a square is 16 cm, then its area is (a) 4 cm2 (b) 8 cm2 (c) 16 cm2 (d) 12 cm2

Let a be the side of the square. Then Perimeter = 4a ⇒ 16 = 4a ⇒ a = 4 cm Area of the square = a2 = 42 = 16 cm2 Hence, the correct option is (c).

If the perimeter of a square is 16 cm, then its area is

(a) 4 cm² (b) 8 cm² (c) 16 cm² (d) 12 cm²

Let a be the side of the square. Then
Perimeter = 4a
$⇒$ 16 = 4a
$⇒$ a = 4 cm
Area of the square = a² = 4² = 16 cm²
Hence, the correct option is (c).