Ask Question
2 February, 00:03

The perimeter of a rectangle is 44 inches, and its area is 105 square inches. find the length and width of the rectangle.

+4
Answers (1)
  1. 2 February, 03:34
    0
    Perimeter = (Length + Width) x2

    Area = LengthxWidth

    P = (L+W) x2

    P/2=L+W

    L=P/2 - W

    Area = (P/2 - W) (W)

    A=WP/2-W^2

    105=W (44) / 2 - W^2

    105=22W - W^2

    W^2-22W+105=0

    (W-7) (W-15) = 0

    Width = 7 or 15

    A=LxW

    105=Lx7

    105/7=L

    L=15

    Length is 15 inches, Width is 7 inches.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The perimeter of a rectangle is 44 inches, and its area is 105 square inches. find the length and width of the rectangle. ...” 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