the area of a trapezium shaped field is1720 m2, the distance between its parellel sides is 40 cm and length of one of the parellel side is 48m. what is the length (in m) of the other parallel side?

We can use the formula for the area of a trapezium to solve this:

\[
\text{Area of a trapezium} = \frac{1}{2} \times (a + b) \times h
\]

Where:
- \( a \) and \( b \) are the lengths of the parallel sides,
- \( h \) is the height (distance between the parallel sides),
- and the area is given.

### Given:
- Area \( = 1720 \, \text{m}^2 \),
- One parallel side \( a = 48 \, \text{m} \),
- Height \( h = 40 \, \text{cm} = 0.4 \, \text{m} \).

We need to find the length of the other parallel side \( b \).

### Substituting the values into the formula:

\[
1720 = \frac{1}{2} \times (48 + b) \times 0.4
\]

First, simplify the equation:

\[
1720 = 0.2 \times (48 + b)
\]

Now, divide both sides by 0.2:

\[
\frac{1720}{0.2} = 48 + b
\]

\[
8600 = 48 + b
\]

Finally, solve for \( b \):

\[
b = 8600 - 48 = 8552
\]

Thus, the length of the other parallel side \( b \) is **8552 meters**.

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Would you like any further details on this? Here are five related questions:

1. What is the formula for the perimeter of a trapezium?
2. How do you calculate the height of a trapezium given area and side lengths?
3. What would the area be if the height was doubled?
4. Can you find the area if both parallel sides were known but the height was missing?
5. How does the concept of trapezium area relate to finding the area of triangles?

**Tip:** Always make sure the units are consistent before performing calculations!

The area of a trapezium-shaped field is 1720 m², the distance between its parallel sides is 40 cm, and the length of one of the parallel sides is 48 m. What is the length (in m) of the other parallel side?

Solve for the length of the other parallel side of a trapezium-shaped field with an area of 1720 m², one side of 48 m, and a distance between sides of 40 cm. Learn the step-by-step process using the area of a trapezium formula. Suitable for students in Grades 8-10.

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