Question

the area of trapezium is 1700m² if one of the parallel sides is 64m and the distance between parallel sides is 36m find the length of the other parallel ​

Answer 1

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{The \ length \ of \ other \ parallel}$

$\bold{is \ 30.44 \ m}$

$\bold\blue{Explanation}$

$\bold{Area \ of \ trapezium}$

${= \frac{1}{2}×(sum \ of \ parallel \ sides)×Height</p><p>}$

$\bold\orange{Given:}$

$\bold{=>Area \ of \ trapezium=1700 \ m^{2}}$

$\bold{=>One \ the \ parallel \ side=64 \ m}$

$\bold{=>Distance \ between \ parallel}$

$\bold{sides(h)=36 \ m}$

$\bold\pink{To \ find:}$

$\bold{Length \ of \ other \ parallel \ side.}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{Let \ the \ other \ parallel \ side \ be \ x.}$

$\bold{Area \ of \ trapezium}$

${=\frac{1}{2}×(sum \ of \ parallel \ sides)×Height}$

$\bold{1700=\frac{1}{2}×(64+x)×36}$

$\bold{64+x=\frac{1700×2}{36}}$

$\bold{64+x=94.44}$

$\bold{x=94.44-64}$

$\bold{x=30.44 (approx)}$

$\bold\purple{\tt{\therefore{The \ length \ of \ other \ parallel}}}$

$\bold\purple{is \ 30.44 \ m}$

Answer 2

$\large{\underline{\bf{\pink{Answer:-}}}}$

✰ The length of the other parallel side = 30.4m

$\large{\underline{\bf{\blue{Explanation:-}}}}$

Area of trapezium

= ½ ×(sum of parallel sides )× height

$\large{\underline{\bf{\green{Given:-}}}}$

✰ Area of trapezium = 1700m²

✰ length of one parallel side = 64m

✰ Height of trapezium = 36m

$\large{\underline{\bf{\green{To\:Find:-}}}}$

✰ We need to find the other parallel side.

$\huge{\underline{\bf{\red{Solution:-}}}}$

We know that,

$\bf\:{\pink{Area\:of\: trapezium}}$

$\bf\:{\pink{=\frac{1}{2}(sum\:of\: parallel\:side)\times\: Height}}$

$:\implies1700 = \frac{1}{2} (64 + x) \times 36 \\ \\:\implies 1700 = \frac{1}{{ \cancel2}}(64 + x) \times { \cancel{36}} \\ \\ :\implies1700 = (64 + x) \times 18 \\ \\:\implies \frac{1700}{18} = 64 + x \\ \\:\implies\frac{1700}{18} -64=x\\\\:\implies\frac{1700-1152}{18}=x\\\\:\implies\frac{548}{18}\\\\:\implies{\boxed{\red{\bf{=30.4m}}}}$

Hence ,

$\bf\blue{The\: length\:of\:the\: other\:side}$

${\green{\bf{=30.4m}}}$

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