There are three ropes of lengths 4 m 50 cm, 9 m 90 cm and 16 m 20 cm, respectively. Each rope can be used to exactly measure the side of a square ground. What is the maximum possible value of each side, in m, if area of the square ground is less than 10,00,000 $$m^{2}$$?
Solution
Find out the LCM of the ropes' length. The LCM of 450, 990,1620 is 89100 cm. So, the side length can be any multiple of 891m, given that the area is less than 10,00,000. So, it has to be 891.
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