If p squares of each side 1mm makes a square of side 1cm, then p is equal to
(a) 10
(b) 100
(c) 1000
(d) 10000
Solution:
Given, p squares of each side 1mm makes a square of side 1cm
We have to find the value of p.
Area of square = (side)²
Area of square with side 1 cm = (1)² = 1 cm²
Area of square with side 1 mm = (1)² = 1 mm²
Given, p × area of square with side 1 mm = area of square of side 1 cm
We know, 1 cm = 10 mm
So, p × 1mm² (10²)mm²
p = 100/1
Therefore, p = 100
✦ Try This: If n squares of each side 2mm makes a square of side 20 mm, then n is equal to
Given, n squares of each side 2mm makes a square of side 100 mm
We have to find the value of n.
Area of square = (side)²
Area of square with side 2 mm = (2)² = 4 mm²
Area of square with side 20 mm = (20)² = 400 mm²
Given, n × area of square with side 2 mm = area of square of side 20 mm
So, n × 4 mm² = 400 mm²
n = 400/4
n = 100
Therefore, n = 100
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 26
If p squares of each side 1mm makes a square of side 1cm, then p is equal to (a) 10, (b) 100, (c) 1000, (d) 10000
Summary:
If p squares of each side 1mm makes a square of 1cm, then p is equal to 100.
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