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Standard VIII

Mathematics

Area of Trapezium by Division into Shapes of Known Area

The area of a...

Question

The area of a filed in the shape of a trapezium measures 1440 m. The perpendicular distance between its parallel sided is 24 m. If the ratio of the parallel sides is 5:3, the length of the longer parallel side is

45 m

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60 m

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75 m

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120 m

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Solution

The correct option is C $75 m$
Area of trapezium $= \frac{1}{2}$ (sum of parallel sides) $\times$ height
$= \frac{1}{2} (5 x + 3 x) \times 24 = 1440.$
Solving, we get $x = 15$ and length of longer side $= 5 \times 15 = 75 m .$

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The area of a filed in the shape of a trapezium measures 1440 m. The perpendicular distance between its parallel sided is 24 m. If the ratio of the parallel sides is 5:3, the length of the longer parallel side is

The correct option is C 75mArea of trapezium =12 (sum of parallel sides) × height=12(5x+3x)×24=1440.Solving, we get x=15 and length of longer side =5×15=75m.

The correct option is C $75 m$
Area of trapezium $= \frac{1}{2}$ (sum of parallel sides) $\times$ height
$= \frac{1}{2} (5 x + 3 x) \times 24 = 1440.$
Solving, we get $x = 15$ and length of longer side $= 5 \times 15 = 75 m .$