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If p squares of each side 1 mm makes a square of side 1 cm, then p is equal to ______. - Mathematics

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Question

If p squares of each side 1 mm makes a square of side 1 cm, then p is equal to ______.

Options

  • 10

  • 100

  • 1000

  • 10000

MCQ
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Solution

If p squares of each side 1 mm makes a square of side 1 cm, then p is equal to 100.

Explanation:

∵ Area of 1 square of side 1 mm = 1 × 1 mm2 = 1 mm2  ...[∵ Area of square = (side)2]

Area of square of side 1 cm = 1 × 1 cm2 = 1 cm2

According to the question,

Area of squares of side 1 mm = Area of square side 1 cm

⇒ p × 1 mm2 = 1 cm2

⇒ p mm2 = 1 cm2

⇒ p mm2 = (10 mm)2  ...[∵ 1 cm = 10 mm]

⇒ p mm2 = 100 mm2

So, p = 100

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Chapter 9: Perimeter and Area - Exercise [Page 273]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 7
Chapter 9 Perimeter and Area
Exercise | Q 26. | Page 273
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