Question

the area of a trapezium is 480m², the distance between two parallel side is 15m and one of the parallel side is 20m,find the other parallel side.​

Answer 1

Solution is given in the above attachment

Answer 2

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

Let the other parallel be y.

$\bullet\;\;\underline{\textbf{\textsf{Formula used here:-}}}$

${\gray{ \underbrace{\boxed{\underline{\underline{\blue{ \tt Area\:of\:trapezium = \dfrac{1}{2} \times (Sum\:of\: parallel\: angles) \times Height }}}}}}}$

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$\bf\underline{\red{\:\:\:\:\:\:\:\: Putting\:the\:values:-\:\:\:\:\:\:\:}}$

$\longrightarrow \sf {480 = \dfrac{1}{2} \times (20 + y) \times 15}$

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$\longrightarrow \sf {40 \times 20 = (20 + y) \times 15}$

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$\longrightarrow \sf {960 = (20 + y) \times 15}$

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$\longrightarrow \sf {\dfrac{960}{15} = 20 + y}$

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$\longrightarrow \sf {64 = 20 + y}$

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$\longrightarrow \sf {y = 64 - 20}$

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$\longrightarrow{\underline{\boxed{\sf{y = 44}}}}$

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$\sf\underline{\purple{\:\:\: \therefore The \:other\: parallel\:side = 44\:\:\:}}$

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