Ask Question
25 November, 22:26

The length l of a rectangle is 4 inches greater than its width w. The area of the rectangle is 252 square inches. Using the method of completing the square, what are the length and width of the rectangle? Show your work.

+5
Answers (1)
  1. 25 November, 22:59
    0
    L=w+4

    lw=252, using l from above

    (w+4) w=252

    w^2+4w=252, now halve the linear coefficient, square it, then add that to both sides, ie (4/2) ^2=4

    w^2+4w+4=256

    (w+2) ^2=256

    w+2=±16

    w=-2±16

    w=14 or 18, but since w
    w=14in and l=18in
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The length l of a rectangle is 4 inches greater than its width w. The area of the rectangle is 252 square inches. Using the method of ...” 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