The area of rectangle ABCD is 9 cm2 show that x2 + 5x=3

Answer: x² + 5x = 3

Step-by-step explanation:Step-by-step explanation:

The rectangle has been divided into a square and three rectangles.

The area of

a square = (x) (x) = x²

a rectangle #1 = (2) (x) = 2x

a rectangle #2 = (3) (x) = 3x

a rectangle #3 = (2) (3) = 6

The area of a large rectangle is the sum of the square area and three rectangles, and is 9 cm². Therefore we have the equation:

x² + 2x + 3x + 6 = 9 subtract 6 from both sides

x² + 5x + 6 - 6 = 9 - 6

x² + 5x = 3