# 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?SUPER URGENT!!!! PLEASE!!!!!

1
by Yasmin

2014-09-19T21:27:49+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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.