#### Question

The area of a trapezium is 91 cm^{2} and its height is 7 cm. If one of the parallel sides is longer than the other by 8 cm, find the two parallel sides.

#### Solution

Let the depth of canal bed.

Given:

Lengths of the parallel sides of the trapezium shape canal are 10 m and 6 m.

\And, the area of the cross section of the canal is 72 m^{2}.

Area of trapezium \[=\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Perpendicular distance between the parallel sides })\]

\[72 = \frac{1}{2} \times (10+6)\times (d)\]

\[72 = 8\times d\]

\[d =\frac{72}{8}= 9 m\]

Is there an error in this question or solution?

Solution The Area of a Trapezium is 91 Cm2 and Its Height is 7 Cm. If One of the Parallel Sides is Longer than the Other by 8 Cm, Find the Two Parallel Sides. Concept: Area of Trapezium.