Question

2 parallel sides of a trapezium are in the ratio 7:11 and the distance between them is 17 cm . if the area of the trapezium is 306 cm square, find the length of its parallel sides

Answer 1

length of parallel sides are 7×2=14 cm and 11×2=22cm

Answer 2

Let the length of the parallel sides be (7x)cm and (11x)cm
Area of the trapezium=(1/2)×(sum of parallel sides)×(distance between them)
306 cm²=(1/2)×(7x+11x)×17
306=(1/2)×(18x)×17
306=153x  ⇒x=306/153=2 cm
Length of the parallel sides=7x=7×2=14 cm
                                            11x=11×2=22 cm