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Kirill

A field is in the form of a trapazium. Its area is 1575 meter square and the distance between it's parallel sides is 26m. If one of the parallel sides is 84m, Find the other​

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Answer:

area \: of \: trapezium = 1575 {m}^{2}\\ height = 26m \\ one \: of \: the \: parallel \: side \: (a) = 84m \\area \: of \: trapezium =\frac{1}{2}\times sum \: of \: parallel \: side \:\times distance \: between \: parallel \: side \\1575=\frac{1}{2}\times (a + b) \times h \\ 1575=\frac{1}{2}\times (84 + b) \times 26 \\ 1575 = (84 + b) \times 13\\\frac{1575}{13}= (84 + b) \\\frac{1575}{13}- 84 = b \\\frac{1575 - 84 \times 13}{13}= b \\\frac{1575 - 1092}{13}= b \\\frac{483}{13}= b \\ b =\frac{483}{13}\\ b =37\frac{2}{13} m

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