Question

The lengths of the adjacent sides of the parallelogram are 16 cm and 20 cm. Vertical distance between large parallel arms 15 Is cm, find the perpendicular distance between the smaller parallel sides.





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Answer 1

$\sf Area \: of \: parallelogram \: = \frac{1}{2} \: x \: base \: x \: height \\\\\sf </p><p>= \frac{1}{2}\: x \: 20 \: x \: 15 \\\\\sf </p><p>=10 \: x \: 15 \\\\\sf </p><p>=150 \\\\\sf </p><p></p><p>Now, again, Area \: of \: parallelogram \: = \frac{1}{2} \: x \: base \: x \: height \\\\\sf </p><p>= \frac{1}{2}\: x \: 16 \: x \: perpendicular \\\\\sf </p><p>150 = 8 \: x \: perpendicular \\\\\sf </p><p>Perpendicular= \frac{150}{8} \\\\\sf </p><p>Perpendicular =18.7 cm</p><p>$