Question

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Answer 1

Answer:

5m

Step-by-step explanation:

Given, breadth of each bed = 3 metres.

Area of rectangular fields = 165 m², 195 m², 285 m².

In order to find the maximum length, we have to find the HCF of areas.

⇒ Prime factorization of 165 = 3 * 5 * 11

⇒ Prime factorization of 195 = 3 * 5 * 13

⇒ Prime factorization of 285 = 3 * 5 * 19

HCF(165, 195, 285) = 3 * 5 = 15.

∴ Maximum length of each bed = 15/3 = 5 m

Hope it helps!

Answer 2

Answer:

165 m^2 = 3m * 55 m

195 m^2 = 3 m * 65 m

285 m^2 = 3 m * 95 m        max length beds in each field

It appears the largest common divisor of these numbers is 5.

So the maximum length would be 5 m.

165 m^2 = 11 beds   195 m^2 = 13 beds   285 m^2 = 19 beds

Step-by-step explanation: