it is given that the area of the rectangle is 4x^3 + 10x² + 10x + 25
we know that the are of a rectangle is
Area = base x height
so,
we will do factor of the given expression
the factor of the above equation is,
[tex]4x^3+10x^{2}+10x+25=(2x^2-5)(2x-5)[/tex]so, the base and height is (2x^2 -5) and (2x -5)