Question

The area of a trapisum is 156cm² if one of parallel side is 5cm and a distance between them is 12cm find the length of the other parallel side

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Answer 1

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Answer 2

$\huge{\underline{\underline{\red{\mathfrak{Answer :}}}}}$

$\begin{gathered} \displaystyle{\green {\mathsf{Given \: \begin{cases} Area \: of \: Trapezium \: = \: 156 \: cm^2 \\\\ One \: of \: Parallel \: Side \: is \: 9 \: cm \\\\ Height \: is \: 12 \: cm < /p > < p > \end{cases}}}}\end{gathered}$

To Find :

Other Parallel side

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Solution :

let one side be x and other be y,

Area of Trapezium = 156 cm²

x = 9 cm

h = 12 cm

We have formula for Area of trapezium :

$\Large \displaystyle \longrightarrow {\underline{\boxed{\blue{\sf{\frac{1}{2} \: (x \: + \: y) \: \times \: h}}}}}$

Put Values

⇒ 156 = ½ (9 + y) *12

⇒156 = (9 + y)*6

⇒156 = 54 + 6y

⇒156 - 54 = 6y

⇒6y = 102

⇒y = 102/6

⇒y = 17

$\Large \displaystyle {\boxed{\red{\sf{Other \: parallel \: side \: = \: 17 \: cm}}}}$