Question

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

Answer 1

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☯Question: ☯

The ratio of the parallel sides of a Trapezium is 3 : 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 ?

☯Answer:☯

Required Sides of Trapezium are 6 cm and 10 cm.

⏪Method of Solution: ⏪

In this Question, It is given that The ratio of the parallel sides of a Trapezium is 3 : 5 and the distance between them is 3 CM.

Area of Trapezium = 24 cm²

Suppose the sum of parallel sides are in the Ratio as 3x:5x

Now, We know that , Formula of Trapezium is 1/2×(Sum of parallel sides)×(Distance between them)

Substitute the obtained value in Formula!

Area of Trapezium is 1/2×(Sum of parallel sides)×(Distance between them)

➡ Area of Trapezium = 1/2(3x+5x)×3

➡ 24 ×2 = (8x)3

➡ 48=24x

➡ x=2

Now, According to the Question's Statement!

Statement: find the length of the parallel sides ?

Sum of parallel sides in the Ratio = 3x:5x ----(1)

Substitute the value of x in Equation (1)

Sum of parallel sides in the Ratio = 3x:5x

One Sides of Trapezium =3(2)

One sides of Trapezium= 6 cm

Other Sides of Trapezium = 5(2)

other Sides of Trapezium= 10 cm

Hence, Required Sides of Trapezium are 6 cm and 10 cm.

Answer 2

let the sides be x


Formula of Trapezium 1/2×(Sum of parallel sides)×(Distance between them)



Area of Trapezium is 1/2×(Sum of parallel sides)*(Distance between them)


Area of Trapezium = 1/2(3x+5x)*3

24 *2 = (8x)3

48=24x

x=2

Sides = 3(2)=6cm

Sides =5(2)=10cm

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