The area of a field in the shape of a trapezium measures $1440 m^{2}$ . The perpendicular distance between its parallel sides 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 B $75 m$
Parallel sides $= 5 x, 3 x$
area $= \frac{24}{2} (5 x + 3 x) = 1440$
$12 (8 x) = 1440$
$x = \frac{120}{8} = 15$
$5 x = 15 \times 5$
$= 75 m$

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The area of a field in the shape of a trapezium measures 1440m2. The perpendicular distance between its parallel sides is 24m. If the ratio of the parallel sides is 5:3, the length of the longer parallel side is:

The correct option is B 75mParallel sides =5x,3xarea =242(5x+3x)=144012(8x)=1440x=1208=15 5x=15×5 =75m

The area of a field in the shape of a trapezium measures $1440 m^{2}$ . The perpendicular distance between its parallel sides 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 B $75 m$
Parallel sides $= 5 x, 3 x$
area $= \frac{24}{2} (5 x + 3 x) = 1440$
$12 (8 x) = 1440$
$x = \frac{120}{8} = 15$
$5 x = 15 \times 5$
$= 75 m$