Ask Question
25 November, 07:25

The length of a rectangular mural is 2 ft more than three times the height. The area is 165 ft^2. Find the height of the mural.

+2
Answers (1)
  1. 25 November, 07:35
    0
    x=-1±4√31/3 ft is the height

    Step-by-step explanation:

    let the height be x ft.

    then the length would be 3x+2

    area = L*H = x (3x+2)

    165=3x²+2x

    0 = 3x²+2x - 165

    dividing the whole equation by 3

    0=x²+2x/3-55

    (x) ²+2 (x) (1/3) + (1/3) ² - 55 - (1/9) = 0

    (x+1/3) ² - 495-1/9=0

    (x+1/3) ² = 496/9

    taking square root on both sides

    (x+1/3) = ±4√31/3

    x = ±4√31/3-1/3

    x=-1±4√31/3 ft is the height
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The length of a rectangular mural is 2 ft more than three times the height. The area is 165 ft^2. Find the height of the mural. ...” 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