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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
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 1 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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