Question

the length of the two parallel sides trapezium are 36m and 64m the distance between the parallel lines is 20m.what is area of trapezium

Answer 1

hope its helpful . thanx

Answer 2

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$\large\underline{Given:-}$

• 1st parallel sides trapezium are 36 m.
• 2nd parallel sides trapezium are 64 m.
• The parallel line is 20 m.

$\large\underline{To find:-}$

• Area of the Trapezium ?

$\large\underline{Solutions:-}$

• Let the Area of Trapezium be x m².

$\: \: \: \: \: \star \: \: \: Area \: \: of \: \: Trapezium \: \: = \: \: \frac{1}{2} \: {( Sum \: \: of \: \: parallel \: \: side )} \: height$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: \frac{1}{2} \: {( {36} \: + \: {64})} \: {20}$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: \frac{1}{2} \: \times \: {100} \: \times \: {20}$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: {50} \: \times \: {20}$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: {1000} \: {m}^{2}$

»★ Hence,

$\: \: \: \: \: \star \: \: \: Area \: \: of \: \: Trapezium \: \: is \: \: {1000} \: {m}^{2}$

$\large\underline{More \: Important:-}$

$\: \: \: \: \: \star \: \: \: Area \: \: of \: \: Trapezium \: \: = \: \: \frac{1}{2} \: {( Sum \: \: of \: \: all \: \: side )} \: height$

$\: \: \: \: \: \star \: \: \: Perimeter \: \: = \: \: Sum \: \: of \: \: all \: \: side.$

$\: \: \: \: \: \star \: \: \: AB || CD$

$\: \: \: \: \: \star \: \: \: \angle A \: + \: \angle D \: \: = \: \: \angle B \: + \: \angle C \: \: = \: \: {180} \: \degree$

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