Question

The ratio of the length of the parallel sides of a trapezium is 5:3 and the distance between
them is 16cm. If the area of the trapezium is 960 cm 2square, find the length of the parallel sides​

Answer 1

Answer:

Parallel sides becomes 5X and 3X. Distance between the two parallel sides of trapezium = 16 cm. Therefore, Parallel sides = 5X , 3X = 5 × 15 , 3 × 15 = 75 cm and 45 cm.

Step-by-step explanation:

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Answer 2

Given:

• Let Length of parallel sides = 5x, 3x
• Distance between the parallel sides is nothing but Height of the trapezium = 16 cm
• Area = 960 cm²

To find:

• Length of parallel sides = ?

Formula used:

Area of trapezium = ½ (Length of parallel sides) × Height

Solution:

Substitute the given values in the formula.

Area of trapezium = ½ (Sum of Length of parallel sides) × Height

⇒ 960 = ½ (5x + 3x) × 16

⇒ 960 = ½ (8x) × 16

⇒ 960 = 4x × 16

⇒ 960 = 64x

⇒ x = 15

For finding the length of parallel sides:

• 5x = 5(15) = 75
• 3x = 3(15) = 45

∴ The length of parallel sides = 75 cm, 45 cm

Verification:

Substitute length of parallel sides in the formula and find out area.

Area = ½ (75 + 45) × 16

➝ Area = 60 × 16

➝ 960 = 960

★ HENCE VERIFIED ★