Question

the area of a trapezium is 180 cm square and its parallel sides are into the ratio 3 is to 5 and the perpendicular distance between them is 12 cm find the length of each the parallel sides​

Answer 1

Required Answer:-

Given:

• The area of a trapezium is 180 cm².
• Ratio of parallel sides is 3 : 5
• Perpendicular distance is 12 cm.

To find:

• The length of each parallel sides.

Solution:

Let the parallel sides measure 3x cm and 5x cm.

Height = 12 cm.

We know that,

➡ Area of a Trapezium = ½ × (Sum of parallel sides) × (Height)

So, according to the given condition,

➡ 180 = 1/2 × 12 × (3x + 5x)

➡ 180 = 6 × 8x

➡ 8x = 180/6

➡ 8x = 30

➡ x = 30/8

➡ x = 15/4

➡ x = 3.75 cm.

Therefore,

• 3x = 3 × 3.75 = 11.25 cm.
• 5x = 5 × 3.75 = 18.75 cm.

★ Hence, the length of parallel sides of the given trapezium are 11.25cm and 18.75cm.

Answer:

• The length of parallel sides of the given trapezium are 11.25cm and 18.75cm.

Answer 2

Answer:

Answer is 10cm and 20cm of this question