Ask Question
7 August, 01:42

The area of a field can be expressed as A = 2x + 6 / x + 1 square yards. If the length is

L = x^2 - 9 / 2x + 10 what is the width? Show all work.

+1
Answers (1)
  1. 7 August, 01:46
    0
    The width of the field is 4x + 20 / x² - 2x - 3 yards

    Step-by-step explanation:

    The area of a rectangular field is given by the following formula:

    area = length*width

    In this case we want to find the width of this field, therefore if we isolate the width in the expression above we will have a suitable expression:

    width*length = area

    width = area / length

    So applying the data from the problem, we have:

    width = [ (2x + 6) / (x + 1) ] / [ (x² - 9) / (2x + 10) ]

    width = [ (2x + 6) / (x + 1) ]*[ (2x + 10) / (x² - 9) ]

    width = 2 (x + 3) * (2x + 10) / (x+1) * (x - 3) * (x + 3)

    width = 2 * (2x + 10) / (x + 1) * (x - 3)

    width = 4x + 20 / x² - 2x - 3
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The area of a field can be expressed as A = 2x + 6 / x + 1 square yards. If the length is L = x^2 - 9 / 2x + 10 what is the width? Show all ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers