Math, asked by yadavgeeta943, 5 hours ago

the. area of a trapezium is the area of trapezium is 720 CM square the ratio of the parallel side is 2 ratio 1 if the distance between the parallel side 20 cm find the length of the parallel side​

Answers

Answered by pragyabundiwal59
4

Step-by-step explanation:

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Answered by varadad25
2

Answer:

The lengths of the parallel sides of the trapezium are 24 cm and 48 cm.

Step-by-step-explanation:

We have given that,

The ratio of the parallel sides of a trapezium is 2 : 1.

Let the common multiple be x.

Longer side = 2x cm

Shorter side = 1x = x cm

We have given that,

Area of trapezium = 720 cm²

Distance between the parallel sides ( h ) = 20 cm

Now, we know that,

Area of trapezium = ( Sum of lengths of parallel sides ) * h / 2

⇒ 720 = ( 2x + x ) * 20 / 2

⇒ 720 = 3x * 10

⇒ 3x = 720 ÷ 10

⇒ 3x = 72

⇒ x = 72 ÷ 3

x = 24

Now,

Longer side = 2x

⇒ Longer side = 2 * 24

Longer side = 48 cm

Now,

Shorter side = x

Shorter side = 24 cm

∴ The lengths of the parallel sides of the trapezium are 24 cm and 48 cm.

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