#### Question

The area of a trapezium is 34 cm^{2} and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

#### Solution

It is given that,area of trapezium = 34 cm^{2} and height = 4 cm

Let the length of one parallel side be *a*. We know that,

Area of trapezium = `1/2` (Sum of parallel sides) × (Distances between parallel sides)

`34 cm^2 = 1/2 (10 cm + a) xx (4 cm)`

34 cm - 2(10 cm + a)

17 cm = 10 cm + a

a = 17 cm - 10cm = 7 cm

Thus, the length of the other parallel side is 7 cm.

Is there an error in this question or solution?

Solution The Area of a Trapezium is 34 Cm2 and the Length of One of the Parallel Sides is 10 Cm and Its Height is 4 Cm. Find the Length of the Other Parallel Side. Concept: Area of Trapezium.