Respuesta :

Answer:

The area of the rectangle = x² + 12x + 20

Step-by-step explanation:

∵ Area of the rectangle = length × width

∵ Length = (x + 10) and width = (x + 2)

∴ Area = (x + 10) (x + 2)

           = (x)(x) + (x)(2) + (10)(x) + (10)(2)

           = x² + 2x + 10x + 20 ⇒ collect like terms

           = x² + 12x + 20

∴ The area of the rectangle = x² + 12x + 20