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A plot is in the shape of a trapezium. The parallel sides of the plot are 20 m and 16 m long, and the distance between them is 8 m. A square plot has the same area as the trapezium. A pit of dimensions 2.4 m long, 1.5 m wide, and 1 m deep is dug inside the trapezium plot and the soil is spread uniformly on the square plot. Find the rise in the level of hte plot. |
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Answer» `"Area of trapezium"=(1)/(2)xx8xx(20+16)` `=4xx36=144m^(2)` `rArr" Area of the square plot"=144m^(2)` Volume of the soil dugout `=2.4xx1.5xx1` `"Rise in the level"=("Volume of the soil spread")/("Area of the square plot")` `therefore" Rise in level"=(3.6)/(144)m=(360)/(144)cm=2.5cm` |
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