Express Rectangle Sides Using Variable x: Geometric Algebra Problem

Question

Express the sides of the rectangle in the drawing by x.

00:00 Express the sides of the rectangle

00:03 We'll use the formula for calculating rectangle area (side times side)

00:08 We'll use trinomial to factor, identify the coefficients

00:14 We want to find two numbers whose sum equals B

00:18 and their product equals C

00:25 These are the matching numbers

00:31 We'll put them in parentheses, this is the product of the sides

00:38 And this is the solution to the question

$x+11,x+2$