The perimeter of a rectangular piece of land is 140m. The size of the land is decreased due to the expansion of the road and the new length' and breadth of the land are equal to 17/20 and 13/15 times of the original length and breadth respectively. If the new perimeter of the land is 120 m, find the orginal length and breadth of the land.

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step-by-step explanation:

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x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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step-by-step explanation: