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Shyam donated a rectangular plot of land to an orphanage. Its area is given in the expression 6x² + 5x - 6. What are the possible expressions for the

dimensions of the plot? What value is depicted by him?




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Area = 6x^2 + 5x -6 

Factorize it.

Area =  6 (x^2 + 5/6 x  - 1) = 2 * 3 * (x - 2/3) ( x + 3/2 )  

Since area is positive and the dimensions length and breadth are positive. x > 2/3.

So now, length and breadth could be interchanged. The pairs are: (x>2/3)

1 and 6x^2+5x-6
2 and 3(x-2/3)(x+3/2)
3 and 3(x-2/3)(x+3/2)
6 and (x^2+5/6x -1)
(x-2/3) and 6(x+3/2)
2(x-2/3) and 3(x+3/2)
3(x-2/3) and 2(x+3/2)
6(x-2/3) and (x+3/2)

The dimensions are the factors of the quadratic expression given.

2 4 2
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