Ask Question
30 July, 07:31

The perimeter of a rectangle is 15.2 km, and it's area is 11.88 km^2. Find it's length and width

+5
Answers (1)
  1. 30 July, 08:28
    0
    The perimeter of a rectangle is 15.2 km, and its area is 11.88 km^2. Find its length and width.

    Length ≈ 5.4 km

    With ≈ 2.2 km

    Explanation:

    Let P be the perimeter of a rectangle and A its area. Let W and L be, respectively, the width and length of the rectangle. Find W and L in terms of P and A.

    solution:

    P = 2 * W + 2 * L (1)

    and

    A = W * L (2)

    solve equation (1) for W:

    W = P / 2 - L

    and W by P / 2 - L in A = W * L to obtain

    A = L * (P / 2 - L)

    Rewrite as a standard quadratic equation in L

    L^ 2 - L (P / 2) + A = 0

    Solve the above equation for L and find W using W = P / 2 - L.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The perimeter of a rectangle is 15.2 km, and it's area is 11.88 km^2. Find it's length and width ...” 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