Question

the area of a trapezium is 540cm². if the ratio of parallel sides is 7:5 and the distance between them is 18cm, find the length of parallel sides. Please answer it

Answer 1

the length of parallel sides are 25 cm and 35 cm

Answer 2

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Here is your answer

Let the parallel sides are 7x and 5x
Area = 540 sq.cm
Distance between them = 18 cm

As we know the formula

Area = 1/2(Sum of parallel sides)(Distance between them)
$540 = \frac{1}{2} \times (7x + 5x)(18) \\ 540 = 9(12x) \\ x = \frac{540}{9 \times 12} \\ x = 5$
Therefore parallel sides are
$7 \times 5 = 35 \: cm \\ and \\ 5 \times 5 = 25 \: cm$
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