Question

4. The area of a trapezium is 120 cm² and the distance between its parallel sides is 8 cm. Find
the length of the parallel sides if their difference is 6 cm.​

Answer 1

Answer:

26⅞6cm ¾

Step-by-step explanation:

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Answer 2

Answer:

Length of the parallel sides are 18 cm and 12 cm.

Step-by-step explanation:

Let's assume that, the length of the parallel sides are a cm and b cm.

According to the problem:

8 x (a + b)/2 = 120

∴ a + b = 30  . . . . . . . . . . . . . . . .  (i)

and a - b = 6 . . . . . . . . . . . . . . . . (ii)

Adding equation (i) and (ii):

2a = 36

∴ a = 18

∴ b = 30 - 18 = 12  [from equation (i)]