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fatima wants to show gratitiude towards her teacher by giving her a card made by her. the card is in the shape of a trapezium with its area 390cm2. one of its parallel side is 5cm longer than the other and the distance between them is 12cm. find the length of the parallel sides of the card made by her?

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Answer:

The length of the larger parallel side of the card is 60 cm.

Step-by-step explanation:

Given that S is the area of the trapezium (S = 390 cm2), a is one of its smaller parallel side (a = 5), b is the larger parallel side, and h is the distance between two parallel sides (h=12 cm).

S = (a+b)×h/2

=> b = 2S/h - a

       = 2×390 / 12 - 5

       = 60 cm

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