Ask Question
18 August, 06:45

The perimeter of a rectangle is 42feet. The length decreased by 3times the width is 1foot. What are the dimensions of the rectangle? (what is the length and width)

+4
Answers (1)
  1. 18 August, 07:22
    0
    Answer: Length is 16 ft. Width is 5 feet.

    Step-by-step explanation: Take the information given and write an equation. "Length decreased by 3 is 1" becomes L - 3w = 1.

    "Solve" for L. L = 3w + 1

    Write another equation for the formula of a perimeter. P=2L + 2w.

    Substitute the values for L (from the first "solution" you wrote) and P (42 ft, given).

    42 = 2 (3w + 1) + 2w. Solve this.

    42 = 6w + 2 + 2w

    42 = 8w + 2. Subtract 2 from both sides then divide both sides by 8.

    W = 5

    Substitute that into the first equation you wrote to get the Length.

    L - 3 (5) = 1

    L - 15 = 1. L = 1+15

    L = 16
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The perimeter of a rectangle is 42feet. The length decreased by 3times the width is 1foot. What are the dimensions of the rectangle? (what ...” 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