Question

$\large\mathcal{\red{QUESTION :-}}$

The area of a trapezium is 368sqcm and the distance between the parallel sides is 16cm. If one of the parallel side is of length 20cm. Find the length of the other side.









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Answer 1

Given :

Area of trapezium = 368 cm²

Height = 16 cm

One of the parallel sides = 20 cm

To Find :

Length of other parallel side

Solution :

We know that,

→ Area of parallelogram = 2 × Sum of parallel sides x Height

Let the other parallel sides be x :→ 368 = 1/2 × ( 20 + x) × 16

→ 368 = (20 + x) × 8

→ 20 + x = 368 / 8

→ 20 + x = 46

→ x = 46 - 20

⇒ x = 26

Other parallel sides = 26 cm

Answer 2

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given:

• Area of the trapezium=368 cm²
• height=16 cm
• one of the parallel side =20cm

R.T.P:

• length of the other parallel side⠀⠀ ⠀⠀ ⠀ ⠀⠀ ⠀⠀

solution

we know that , Area of the parallelogram =½×sum of parallel sides×height

➼if we let the parallel side be x

➼368=½×(20+x)×16

➼368=(20+x)×8

➼20+x=368/8

➼20+x=46

➼x=46-20

➼x=26

Ans: length of the other parallel side is 26cm