To find the dimensions of the rectangle with an area of 3x^2-13x-10, we need to factor the expression 3x^2-13x-10. Factoring this expression gives us (3x+2)(x-5). Therefore, the length and width of the rectangle are 3x+2 and x-5 respectively.
3x^2 - 13x - 10 = (3x + 2)(x - 5)