Ask Question
25 August, 04:46

The length of rectangle is represented by x and the width by y. The square of the diagonal of the rectangle is equal to the sum of the squares of the length and the width. If the length is 25 meters and the diagonal is 45 meters, which quadratic equation could be used to determine the width of the rectangle?

+2
Answers (1)
  1. 25 August, 05:44
    0
    To solve this problem you must apply the proccedure shown below:

    1 - You have the following information given in the problem above:

    - The square of the diagonal of the rectangle is equal to the sum of the squares of the length and the width.

    - The length is 25 meters and the diagonal is 45 meters.

    2 - Therefore, you have:

    x: diagonal of the rectangle.

    x^2=l^2+w^2

    3 - You have:

    w^2+l^2-x^2=0

    w^2 + (25) ^2 - (45) ^2=0

    w^2-1400=0

    w=37.41

    The answer is: w^2-1400=0
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The length of rectangle is represented by x and the width by y. The square of the diagonal of the rectangle is equal to the sum of the ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers