Ask Question
29 October, 14:33

2. The length of a rectangular floor is 4 ft longer than its width w. The area of the floor is 525 ft2. (a) Write a quadratic equation in terms of w that represents the situation. (b) What are the dimensions of the floor? Show your work.

+5
Answers (1)
  1. 29 October, 15:29
    0
    The area of a rectangle is calculated by multiplying the dimensions (length and width). If we let the width be w, the length, which is 4 ft longer than the width will be represented as w+4.

    (a) The quadratic equation that would best represent the given is,

    (w) (w + 4) = 525

    w² + 4w = 525 or w² + 4w - 525 = 0

    (b) Solving for the values of w in the quadratic equation,

    w = 21 and w = - 25

    Thus, we take w as 21 and w+4 = 25. The dimensions of the floor are therefore 21ft and 25 ft.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “2. The length of a rectangular floor is 4 ft longer than its width w. The area of the floor is 525 ft2. (a) Write a quadratic equation in ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers