Question

the area of trapezium 352 cm^ the distance parallels is 16 cm if one parallel side is 251 cm find the other​

Answer 1

Answer:

Another side is 207cm ☑

Step-by-step explanation:

$\sf : \implies \: Area \: of \: trapezium \: = \frac{(a + b)}{2} \times h \\ \sf : \implies \: {352cm}^{2} = \frac{(a + 251)}{2} \times 16 \\ \sf : \implies \: 352 = 8(a + 251) \\ \sf : \implies \: 352 = 8a + 2008 \\ \sf : \implies \: 8a = 2008 - 352 \\ \sf : \implies \: 8a = 1656 \\ \sf : \implies \: a = \frac{1656}{8} \\ \sf : \implies \:a = 207 cm \: ans.$

Answer 2

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Another side is 207cm ☑

$\begin{gathered} \sf : \implies \: Area \: of \: trapezium \: = \frac{(a + b)}{2} \times h \\ \sf : \implies \: {352cm}^{2} = \frac{(a + 251)}{2} \times 16 \\ \sf : \implies \: 352 = 8(a + 251) \\ \sf : \implies \: 352 = 8a + 2008 \\ \sf : \implies \: 8a = 2008 - 352 \\ \sf : \implies \: 8a = 1656 \\ \sf : \implies \: a = \frac{1656}{8} \\ \sf : \implies \:a = 207 cm \: ans.\end{gathered}$

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