Ask Question
22 September, 23:55

Work the area of a rectangle out but already knowing the area and needing to know the length as it is two centermeters more than the width, area being 469

+1
Answers (1)
  1. 23 September, 00:11
    0
    The area of a rectangle is the length times width:

    a = l*w

    the length is 2 centimeters more than the width:

    l = w + 2

    express area in terms of width

    a = l*w

    a = (w + 2) w

    a = w^2 + 2w

    w^2 + 2w = 469

    w^2 + 2w - 469 = 0

    we can solve using the general quadratic formula:

    w = (-2 + - √ (4 + 1876)) / 2

    w = (-2 + - 43.36) / 2

    we use the positive solution:

    w = (-2 + 43.36) / 2

    w = 20.68

    thus the width is 20.68 cm

    l = w + 2 = 20.68 + 2

    l = 22.68

    and the length is 22.68 cm
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Work the area of a rectangle out but already knowing the area and needing to know the length as it is two centermeters more than the width, ...” 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