To find the other parallel side of the trapezium-shaped field, we can use the formula for the area of a trapezium:

$\text{Area} = \frac{1}{2} \times (\text{Sum of parallel sides}) \times \text{Height}$

Here:

• Area = 484 m²
• Distance between the parallel sides (height) = 22 m
• One of the parallel sides = 12 m
• Let the other parallel side be $x$ meters.

Substituting the values into the formula:

$484 = \frac{1}{2} \times (12 + x) \times 22$

Now, solve for $x$:

1. Multiply both sides by 2 to eliminate the fraction:

$2 \times 484 = (12 + x) \times 22$ $968 = (12 + x) \times 22$

2. Divide both sides by 22:

$\frac{968}{22} = 12 + x$ $44 = 12 + x$

3. Subtract 12 from both sides:

$x = 44 - 12$ $x = 32$

Thus, the other parallel side is 32 meters.

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Related Questions:

1. How do you find the area of a trapezium if both parallel sides are known?
2. What is the relationship between the height and the area of a trapezium?
3. How can you find the height of a trapezium if the area and both parallel sides are given?
4. What happens to the area of a trapezium if the height is doubled?
5. Can a trapezium have sides of equal length?

Tip:

Always ensure that units are consistent when applying formulas for area and other geometric calculations.