Question

A rectangular garden is 9.99m long and 8.51m broad. find the least number of square tiles of same size required to pave the garden

Answer 1

To find the length of the square that can fit, the measurement of the square should be able to divide the length of the rectangle and also its width.

First you can convert the rectangle's measurement to centimeters for ease of calculation:
9.99m x 100 =  999 cm
8.51m x 100 =  851 cm

Next step is to find the greatest common divisor of 999 and 851

factors for 999 cm =  1,3,9,27,37,111,333,999 (999 is divisible by all                                                                                       these numbers)

factors for 851 cm = 1, 23, 37, 851 (851 is divisible by all these numbers)

In both these numbers, the common divisor is 37.

Hence squares need to be 37cm by 37cm