Question

The area of a trapezium is 300m sq The perpendicular distance between the two parallel sides is 15m. If the difference of the parallel sides is 16m, find the length of the parallel sides.

Answer 1

Answer:

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Answer 2

${\huge{\underline{\underline{\bold{\green{Solution:-}}}}}}$

${\huge{\underline{\small{\bold{\red{Define\: x -}}}}}}$

${\huge{\underline{\small{\bold{\green{\: let, -}}}}}}$

one the length of the parallel side be x

The other is x + 16

${\huge{\underline{\small{\bold{\purple{solve\: x -}}}}}}$

${\huge{\underline{\small{\bold{\red{by\: using\: formula -}}}}}}$

$Area \:of\: a\: trapezium\: = \:1/2\: ( a + b ) \:h$

☁$300 = 1/2 (x + x + 16) (15)$

☁$300 = 15/2 (2x + 16)$

☁$600 = 15(2x + 16)$

☁$600 = 30x + 240$

☁$30x = 360$

☁$x=12$

${\huge{\underline{\small{\bold{\blue{\: find -}}}}}}$

the length of the parallel sides:

${\huge{\underline{\small{\bold{\red{one\: side -}}}}}}$

x = 12 m

${\huge{\underline{\small{\bold{\pink{the\:other\: side -}}}}}}$

$x\: +\: 16\: =\: 12 \:+ \:16 =\: 28 \:m$

${\huge{\underline{\small{\bold{\orange{final\: Answer -}}}}}}$

The 2 lengths are $12m$ and$28m$