Perimeter of Quadrilateral worksheet with six geometric figures and side measurements.

Let's solve each of the quadrilateral perimeter problems step by step.

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What is Perimeter?

The perimeter of a shape is the total distance around its edges. For a quadrilateral (a 4-sided polygon), you add up the lengths of all four sides.

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We’ll go through each figure one by one:

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1) Trapezoid

Sides:
- 9 yd
- 11 yd
- 8 yd
- 6 yd

Add them:
$$
9 + 11 + 8 + 6 = 34 \text{ yd}
$$

✔ Perimeter = 34 yd

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2) Rectangle

Sides:
- 15 in (top and bottom)
- 8 in (left and right)

Rectangle has two pairs of equal sides:
$$
15 + 15 + 8 + 8 = 46 \text{ in}
$$

Or use formula: $ 2 \times (length + width) = 2 \times (15 + 8) = 2 \times 23 = 46 $

✔ Perimeter = 46 in

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3) Square

All sides are 13 in.

$$
13 + 13 + 13 + 13 = 52 \text{ in}
$$

Or: $ 4 \times 13 = 52 $

✔ Perimeter = 52 in

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4) Parallelogram

Sides:
- 17 ft (top and bottom)
- 10 ft (left and right)

Opposite sides are equal:
$$
17 + 17 + 10 + 10 = 54 \text{ ft}
$$

✔ Perimeter = 54 ft

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5) Rhombus or Kite-like shape

Sides:
- 5 ft, 14 ft, 5 ft, 14 ft

Note: Two pairs of equal sides.

$$
5 + 14 + 5 + 14 = 38 \text{ ft}
$$

✔ Perimeter = 38 ft

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6) Rhombus

All sides are 7 yd.

$$
7 + 7 + 7 + 7 = 28 \text{ yd}
$$

Or: $ 4 \times 7 = 28 $

✔ Perimeter = 28 yd

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✔ Final Answers:

| Problem | Perimeter |
|--------|-----------|
| 1) | 34 yd |
| 2) | 46 in |
| 3) | 52 in |
| 4) | 54 ft |
| 5) | 38 ft |
| 6) | 28 yd |

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📝 Summary:

To find the perimeter of any quadrilateral, just add all side lengths together. If opposite sides are equal (like in rectangles, parallelograms, rhombuses), you can multiply the pair by 2 to simplify.

Let me know if you'd like this as a printable answer sheet!