Question

the area of trapezium is 120cm^2 and the distance between its parallel sides is 8cm. find the lenght of the parallel sides if their differences is 6cm.​

Answer 1

Answer:

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

Step-by-step explanation:

Let the parallel sides be x and x+6.

$Area \: = \: \frac{1}{2} (a + b)h \\ = > 120 = \frac{1}{2} \times (x + x + 6) \times 8 \\ = > 120 = (2x + 6) \times 4 \\ = >2x + 6 = 30 \\ = > x + 3 = 15 \\ = > x = 12cm$

So, length of the parallel sides are 12cm and 18cm.

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