Finding the equation for the area (A) of a rectangle in terms of x

Question

I have been given a rectangle, I know the area, width, and height of the rectangle but the question asks me to find the equation of the area (A) of this given rectangle in terms of x. How would I go about doing this? any help would be kindly appreciated :)

Answer 1

A = LW

Area = Length times Width

if L =2x+3 and W = 3x +2

A = (2x+3)(3x+2)

A(x) = 6x^2 +13x +6

which gives Area in terms of x

more generally,

A(x) = L(x)W(x)