The perimeter of a rectangle is 24cm given that it's width is 5cm , then it's length is

Mathematics

ScanSolve AI Answer

Answer

7 cm\text{7 cm}

Step-by-step solution

3 steps

To find the length of the rectangle, we use the formula for the perimeter of a rectangle:

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

Where:

  • PP is the perimeter
  • LL is the length
  • WW is the width
  1. Identify the given values.

    The perimeter P=24 cmP = 24 \text{ cm}.
    The width W=5 cmW = 5 \text{ cm}.

  2. Substitute the given values into the perimeter formula.

    24=2(L+5)24 = 2(L + 5)
  3. Solve the equation for LL.

    First, divide both sides by 2:

    242=L+5\frac{24}{2} = L + 5 12=L+512 = L + 5

    Next, subtract 5 from both sides to isolate LL:

    12−5=L12 - 5 = L 7=L7 = L

    The length of the rectangle is 7 cm\text{7 cm}.

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