Problema Solution
Cutting the lawn is a popular summer job. It is a great way to earn money and to help others in your community.
Your neighbor asks you to cut her lawn. Her lawn is (6x + 3) feet wide and (10x + 3) feet long. A section of the law is fenced in for her dog. The dog cage is (x - 2) feet wide and (x + 2) feet long.
1. Write a polynomial expression that represents the total area of the lawn. Give your answer as a trinomial.
2. Write a polynomial expression that represents the area of the dog cage. Give your answer as a binomial.
3. Write a polynomial expression that represents the area of the lawn that you will mow. Give your answer as a binomial.
Answer provided by our tutors
1. Write a polynomial expression that represents the total area of the lawn. Give your answer as a trinomial.
(6x + 3)(10x + 3) = 60x^2 + 48x + 9
click here to see the step by step simplification:
2. Write a polynomial expression that represents the area of the dog cage. Give your answer as a binomial.
(x - 2)(x + 2) = x^2 - 4
click here to see the step by step simplification:
3. Write a polynomial expression that represents the area of the lawn that you will mow. Give your answer as a binomial.
(6x + 3)(10x + 3) - (x - 2)(x + 2) = 59x^2 + 48x + 13
click here to see the step by step simplification: