Question
Download Solution PDFIn how many ways, 48 small squares of 1 cm × 1 cm can be arranged so that the resulting area is 48 cm2?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Side of the square = 1 cm
Total numbers of the square = 48
Concept used:
A factor divides a number completely without leaving any remainder
Calculation:
Factor of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The total number of ways to arrange these small cubes to make area is 48 cm2 are as follows,
Sides of the rectangle = 1 × 48 = 48 cm2
Sides of the rectangle = 2 × 24 = 48 cm2
Sides of the rectangle = 3 × 16 = 48 cm2
Sides of the rectangle = 4 × 12 = 48 cm2
Sides of the rectangle = 6 × 8 = 48 cm2
∴ The total number of ways to arrange these small squares to make area 48 cm2 is 5
Last updated on Apr 30, 2025
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