The area of a rectangle is it's length times it's height. We are given polynomials for these values, so we can multiply them using the FOIL method to find the area.
FOIL stands for Firsts, Outers, Inners, Lasts. This means we multiply the first term of each polynomial together, the outer terms together, the inner terms together, and the last terms together.
(2x+5)(x-2)
The first terms are 2x and x, the outer terms are 2x and -2, the inner terms are 5 and x, and the last terms are 5 and -2:
2x^2 - 4x +5x - 10
Combine like terms:
2x^2 + x - 10
The third option is the correct answer.