Question

20) What is the distance between the parallel sides of a trapezium whose area is175 sq. m and sum of parallel sides are 35 m?​

Answer 1

Answer:

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Answer 2

GIven:

Area of the trapezium$\[ = 175{m^2}\]$

Sum of the parallel sides$\[ = 35{m}\]$

To Find:

Distance between the parallel sides of a trapezium.

Solution:

Area of the trapezium$\[ = \frac{1}{2} \times \]$Sum of the parallel sides

                                              ×Distance between the parallel sides

$\[\begin{array}{l} \Rightarrow 175 = \frac{1}{2} \times 35 \times {\rm{Distance}}\\ \Rightarrow {\rm{Distance = }}\frac{{175 \times 2}}{{35}}\\ \Rightarrow {\rm{Distance = }}5 \times 2\\ \Rightarrow {\rm{Distance = }}10m\end{array}\]$

Hence, the distance between the parallel sides of the trapezium is $10 m$.