Question

the area of trapezium is 192 cm square its parallel sides are in the ratio of 5 ratio 3 and distance between them is 6 cm find the length of each parallel side

Answer 1

Area of trapezium=1/2 × (sum of parallel sides) × Height

let the angles be x

192= 1/2 × (5x + 3x) × 6
192=3 × (8x)
64=8x
8=x

parallel sides are
5x=5×8=40cm
3x=3×8=24cm

Brainliest Please

Answer 2

The length of each parallel side are 40 cm and 24 cm

Step-by-step explanation:

The parallel sides of trapezium are in the ratio of 5 ratio 3

Let the ratio be x

Parallel sides = 5x and 3x

Distance between parallel sides is 6 cm

Area of trapezium =$\frac{1}{2}(\text{Sum of parallel sides}) \times Height$

Area of trapezium = $\frac{1}{2}(5x+3x) \times 6$

The area of trapezium is 192 cm square

So,$\frac{1}{2}(5x+3x) \times 6=192$

$8x=\frac{192 \times 2}{6}$

$x=\frac{192 \times 2}{6 \times 8}$

x=8

Parallel sides :

5x=5(8)=40

3x=3(8)=24

Hence the length of each parallel side are 40 cm and 24 cm

#Learn more:

The ratio of The parallel sides of a Trapezium is 3 ratio 5 and the distance between them is 3 CM if the area of the trapezium is 24 cm find the length of the parallel sides

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