The area of a trapezium-shaped field is 484 meter^2. The distance between two parallel sides is 22 meter and one of the parallel sides is 12 meter. Find another parallel side

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**.

Would you like further clarification or a deeper breakdown?

### 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.

The area of a trapezium-shaped field is 484 meter^2. The distance between two parallel sides is 22 meter and one of the parallel sides is 12 meter. Find another parallel side.

Learn how to find the missing parallel side of a trapezium-shaped field with an area of 484 m². This problem covers key geometric concepts, including the area formula of a trapezium and algebraic steps to solve for unknown sides. Suitable for students in Grades 7-9.

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