A rectangular board is 104cm wide and 156. cm long Equal squares, os large as possible,are ruled of this board find the size of the squares, how many squares are there?

Question

A rectangular board is 104cm wide and 156. cm long Equal squares, os large as possible,are ruled of this board find the size of the squares, how many squares are there?​

bonexptip · Answer

Answer:      52 cm on a side     6 squares   Step-by-step explanation:   The  side length of each square  will be the  greatest common factor  (GCF) of 104 cm and 156 cm.     Square size  Euclid's algorithm is useful for finding the GCF of two numbers whose factors you may not immediately know.     156/104 = 1 r 52 . . . . . . divide and keep the remainder  Replace the smaller number with the remainder and repeat:     104/52 = 2 r 0 . . . . . . . when the remainder is 0, the divisor is the GCF  The greatest common factor, and the  side length of the square, is 52 cm .    Board size  In terms of the size of the square, the board is ...     104 cm / (52 cm) = 2 squares wide     156 cm / (52 cm) = 3 squares long   The number of squares that can be ruled on the board is 2×3 = 6 .

Square size

Board size

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