the given plane figure is to be coloured what will be the expenditure at the rate of rs.15 per m²
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There are two trapezium in the figure
For I
Area =1/2(Sum of parallel sides)(Distance between them)
\begin{gathered} = \frac{1}{2} \times (7 + 4) \times 4 \\ = 11 \times 2 \\ = 22m {}^{2} \end{gathered}
=
2
1
×(7+4)×4
=11×2
=22m
2
For I
Area is
\begin{gathered} = \frac{1}{2} \times (4 + 8) \times 5 \\ = \frac{1}{2} \times 12 \times 5 \\ = 6 \times 5 \\ = 30 \: m {}^{2} \end{gathered}
=
2
1
×(4+8)×5
=
2
1
×12×5
=6×5
=30m
2
Total Area = 22+ 30
= 52 sq m
Rate of Colouring = Rs 15 sq m
Therefore Expenditure in colouring the figure is
\begin{gathered} = 52 \times 15 \\ = 780 \: rupees\end{gathered}
=52×15
=780rupees
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