Question

The parallel sides of a trapezium are in a ratio 2 : 3 and their shortest distance is 12 cm. If the area of the trapezium is 480 sq.cm., the longer of the parallel sides is of length :

• A. 56 cm
• B. 36 cm
• C. 42 cm
• D. 48 cm

Answer 1

Answer:

D. 48 cm

.Let Sides of the trapezium be 2x and 3x cm

$\frac{1}{2}(2x+3x)\times{12}=480$

$5x=\frac{480}{6}$

$x=\frac{80}{5}=16$

Larger Side $= 16\times{3}=48cm$