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