Question

Write a polynomial that represents the area of the football field. Write your answer in standard form.

Answer 1

Answer:

40x² + 240x + 200

Step-by-step explanation:

The area (A) of the rectangular pitch is calculated as

A = lb ( l is the length and b the breadth )

   = (10x + 10)(4x + 20)

Each term in the second factor is multiplied by each term in the first factor, that is

10x(4x + 20) + 10(4x + 20) ← distribute both parenthesis

= 40x² + 200x + 40x + 200 ← collect like terms, thus

A = 40x² + 240x + 200 ← in standard form

Answer 2

Answer:

40x² + 240x + 200

Step-by-step explanation:

(10x + 10) (4x + 20) = 40x² + 240x + 200