Question

The length of a rectangular plot of land is twice its breadth. A square swimming pool of side 8 m, occupies occupies one-eighth part of the plot. Then, what is the length of the plot?​

Answer 1

Step-by-step explanation:

$\huge{ \fbox{ \underline{solution}}} \\ \\ breath = x \\ leanth \: = \: 2x \\ \\ area \: of \: the \: plot = \: 2x \times x = 2 {x}^{2} \\ area \: of \: the \: swimming \: pool \: = {(8m)}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 64 {m}^{2} \\ \\ \frac{1}{8} \times area \: of \: plot \: = \: area \: of \: swimming \: pool \\ \frac{1}{8} \times 2{x}^{2} = 64 {m}^{2} \\ \rightarrow \: \frac{ {x}^{2} }{4} = 64 {m}^{2} \\ \rightarrow {x}^{2} = 64 {m}^{2} \times 4 \\ \rightarrow \: x = \sqrt{256 {m}^{2} } \\ \rightarrow \: \large{ \fbox{x = 16m}} \\ \\ \large{ \fbox{length \: = 2x = 32m square }}$

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Answer 2

Answer:

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