What is the perimeter of parallelogram wxyz

General
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what is the perimeter of parallelogram wxyz

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What is the perimeter of parallelogram wxyz?

Answer: To find the perimeter of a parallelogram, you need to know the lengths of its sides. A parallelogram has two pairs of opposite sides that are equal in length. Let’s denote the lengths of the sides of parallelogram WXYZ as follows:

  • Let side WX = YZ = a
  • Let side XY = WZ = b

The formula for the perimeter (P) of a parallelogram is given by:

P = 2(a + b)

Steps to Calculate the Perimeter:

  1. Identify the lengths of the sides:

    • Measure or find the lengths of one pair of adjacent sides of the parallelogram.
    • In this case, assume a and b are already known. For example, suppose ( a = 5 ) units and ( b = 7 ) units.

  2. Apply the formula:

    • Plug the values of sides a and b into the formula.
    P = 2(a + b) = 2(5 + 7) = 2 \times 12 = 24 \text { units}

Thus, the perimeter of parallelogram WXYZ is 24 units.

General Example:

  • If ( a = 8 ) units and ( b = 10 ) units, then:
P = 2(a + b) = 2(8 + 10) = 2 \times 18 = 36 \text{ units}

The key takeaway is to always ensure that you have the lengths of one pair of adjacent sides. Plugging those values into the perimeter formula will give you the result.