Question

The ratio of the length of the parallel sides of a trapezium is 5:3 and the distance between them is 16cm If the area of the trapezium is 90cm2 , find the length of the parallel sides

Answer 1

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Here is your answer.
Let the length of the parallel sides are 5x and 3x

Distance between them = 16 cm
Area of trapezium is 90 sq.cm

As we know that
Area= 1/2(Sum of parallel sides)(Distance between them)
$90 = \frac{1}{2} \times (5x + 3x) \times 16 \\ 8x = \frac{90 \times 2}{16} \\ 8x = 11.25 \\ x = \frac{11.25}{8} \\ x = 1.40625 \\ x = 1.4$
Hence
Length of parallel sides are
$1.4 \times 5 = 7 \: cm \\ and \\ 1.4 \times 3 = 4.2 \: cm$
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Answer 2

Sol.

We know that area 1/2×h×(a+b)

Let the parallel sides be 5x,3x

960=1/2×16×5x+3x

1/2×16×8x=960

1/2×128x=960

64x=960

x=15

•There fore the two parallel sides are 15×5, 15×3

75, 45

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