Making use of structure 1 - Factoring polynomials with quadratic forms

The  exercise appears under the Algebra I Math Mission. This exercise practices factoring "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.

Types of problems
There are two types of problems in this exercise:
 * 1) Factor the quadratic expression as the product of two binomials.: This problem has a quadratic expression and user is asked to factor it as the product of two binomials.
 * 2) What expression represents the width of the rectangle?: This problem contains a rectangle with an area of ___ square meters and a length of ___ meters. User is asked to type which expression represents the width of the rectangle in the text box below.

Strategies
Basic knowledge of polynomials and quadratics are required for this exercise. $$(x+a) (x+b) = x^2 + (a+b) x + ab$$
 * 1) For any quadratic expression in one variable (x), the following equality is true:
 * 1) The area of any rectangle is the product of its length (l) and its width (w) ($$l\times w$$)