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The length of two parallel sides of a trapezium are 20cm and 15 cm. If its area is 175 cm2. Find its height.1). 12 cm2). 10 cm3). 15 cm4). 5 cm

Answer»

Area of TRAPEZIUM =$({\rm{\;}}\FRAC{1}{2}\left( {Sumofparallelsides} \right){\rm{\;}} \times {\rm{\;}}height)$

$(\begin{array}{l} \Rightarrow 175 = \frac{1}{2}\left( {20 + 15} \right) \times h\\ \Rightarrow h = \frac{{175 \times 2\;}}{{35}} = 10\;cm \end{array})$

∴ the height of trapezium is 10 cm


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