Answer:
Explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
From the information given,
Height = w² + 3w + 9
Width = w² + 2
The expression for the area would be
Area = (w² + 3w + 9)(w² + 2)
We would expand the brackets by multiplying each term in the first bracket by each term in the second bracket. It becomes
Area = w⁴ + 2w² + 3w³ + 6w + 9w² + 18
Collecting like terms, it becomes
Area = w⁴ + 3w³ + 2w² + 9w² + 6w + 18
Area = w⁴ + 3w³ + 11w² + 6w + 18