Ask Question
18 June, 14:22

What is the width of the rectangle if the length is 4 times the reciprocal of the width and the perimeter is 10?

+4
Answers (1)
  1. 18 June, 14:40
    0
    Create formulas for length and perimeter.

    L = 4/W

    10 = 2*L + 2*W

    Substitute formula for length for the length in perimeter formula

    10 = 2*4/W + 2*W

    10 = 8/W + 2*W

    5 = 4/W + W

    5W = 4 + W^2

    0 = 4 - 5W + W^2

    W^2 - 5W + 4 = 0

    You now have a standard quadratic equation with A=1, B=-5, and C=4

    Using the quadratic formula you get two possible answers

    W = 1, or W = 4

    Let's check them

    Width = 1, L = 4/1 = 4

    Width = 4, L = 4/4 = 1

    Both make the same 1x4 rectangle. And the perimeter is 2*1 + 2*4 = 2+8 = 10
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “What is the width of the rectangle if the length is 4 times the reciprocal of the width and the perimeter is 10? ...” 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