Math, asked by nitrogaming3201, 6 months ago

The area of a trapezium is 100 cm² and its height is 10 cm. If one of the
parallel sides is than the other by 4 cm find the length of the two parallel sides.​

Answers

Answered by manisimha1
0

Here we will learn how to use the formula to find the area of trapezium.

Area of trapezium ABCD = Area of ∆ ABD + Area of ∆ CBD

= 1/2 × a × h + 1/2 × b × h

= 1/2 × h × (a + b)

= 1/2 (sum of parallel sides) × (perpendicular distance between them)

Answer:

The length of the parallel sides of a trapezium are in the rat: 3 : 2 and the distance between them is 10 cm. If the area of trapezium is 325 cm², find the length of the parallel sides.

Step-by-step explanation:

Solution:

Let the common ration be x,

Then the two parallel sides are 3x, 2x

Distance between them = 10 cm

Area of trapezium = 325 cm²

Area of trapezium = 1/2 (p₁ + p₂) h

325 = 1/2 (3x + 2x) 10

⇒ 325 = 5x × 5

⇒ 325 = 25x

⇒ x = 325/25

Therefore, 3x = 3 × 13 = 39 and 2x = 2 × 13 = 26

Therefore, the length of parallel sides area are 26 cm and 39 cm.

Answered by rightjangra98135
3

Step-by-step explanation:

area of trapezium=1/2(a+b)h

100=1/2(x+4x)10

100=1/2×50x

200=50x

x= 4

length of one side is 16 cm

length of another side is 4cm

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