Ask Question
31 August, 23:01

A pool measuring 16 Meters by 28 m is surrounded by a path of uniform width, if the area of the pool and path combined is 748 m², what is the width of the path?

+1
Answers (1)
  1. 31 August, 23:44
    0
    Answer: the width of the path is 3 meters.

    Step-by-step explanation:

    Let x represent the width of the path.

    A pool measuring 16 meters by 28 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the path is (16 + 2x) meters.

    Also, the combined width of the pool and the path is (28 + 2x) meters.

    if the area of the pool and the path combined is 748 square meters, it means that

    (16 + 2x) (28 + 2x) = 748

    448 + 32x + 56x + 4x² = 748

    4x² + 88x + 448 - 748 = 0

    4x² + 88x - 300 = 0

    Dividing through by 4, it becomes

    x² + 22x - 75 = 0

    x² + 25x - 3x - 75 = 0

    x (x + 25) - 4 (x + 25) = 0

    x - 3 = 0 or x + 25 = 0

    x = 3 or x = - 25

    Since the width cannot be negative, then x = 3
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A pool measuring 16 Meters by 28 m is surrounded by a path of uniform width, if the area of the pool and path combined is 748 m², what is ...” 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