#### Question

If the area of a trapezium is 28 cm^{2} and one of its parallel sides is 6 cm, find the other parallel side if its altitude is 4 cm.

#### Solution

Given:

Area of the trapezium = 28 cm^{2}

Length of one of its parallel sides = 6 cm

Altitude = 4 cm

Let the other side be x cm.

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

\[ \Rightarrow 28=\frac{1}{2}\times(6+x)\times(4)\]

\[ \Rightarrow 28 = 2 \times (6 + x)\]

\[ \Rightarrow 6+x=\frac{28}{2}=14\]

\[ \Rightarrow x=14-6=8 cm\]

Hence, the length of the other parallel side of the trapezium is 8 cm.

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Solution If the Area of a Trapezium is 28 Cm2 and One of Its Parallel Sides is 6 Cm, Find the Other Parallel Side If Its Altitude is 4 Cm. Concept: Area of Trapezium.