Ask Question
13 February, 18:00

the width of a rectangle is 7 feet less than it's length. if the area of the rectangle is 170 square feet, then find the length and width

+2
Answers (1)
  1. 13 February, 18:16
    0
    let length = x

    width is 7 feet less than length

    width = x-7

    area = length * width

    area = x (x-7)

    170=x²-7x

    x²-7x-170=0

    x²-17x+10x-170=0

    x (x-17) + 10 (x-17) = 0

    (x-17) (x+10) = 0

    x=17 or x=-10

    since length cannot be negative so x=17

    and width = x-7 = 17-7=10

    length = 17 feet and width = 10 feet
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “the width of a rectangle is 7 feet less than it's length. if the area of the rectangle is 170 square feet, then find the length and width ...” 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