Question

The parallel sides of the trapezium are in the ratio 5:1if the perpendicular distance is 15cm and their area is 360cm 2 find the lengths of the parallel sides

Answer 1

Answer:

7cm & 35cm

Step-by-step explanation:

Area= 360

Height = 15

Let base be b1 and side parallel to base be b2

As they are in ratio 5:1; b1/b2=5/1

Hence b1=5b2

360 = 1/2*15*(b1+b2)

replacing b1 with b2 we get

360*2/15 = 5b2 +b2

6b2 = 48 or b2 = 7cm

hence b1 = 5*7 = 35cm

The lengths of the parallel sides are 7cm & 35cm