5. Which polynomial, written in simplified form, represents the area of this rectangle? A. $8 x^{2}-36 x y-20 y^{2}$ B. $8 x^{2}+22 x y-20 y^{2}$ C. $16 x^{2}+72 x y-40 y^{2}$ D. $8 x^{2}+36 x y-20 y^{2}$

Step 1 ：Analyze each polynomial and see if it can be factored into two expressions representing the length and width of the rectangle.

Step 2 ：Factoring each polynomial: \(A = 4(x - 5y)(2x + y)\), \(B = 2(4x^2 + 11xy - 10y^2)\), \(C = 8(x + 5y)(2x - y)\), \(D = 4(x + 5y)(2x - y)\)

Step 3 ：\boxed{D. 8x^2 + 36xy - 20y^2}