Question

20 cm,
11. Area of a trapezium is 36 sq. cm. If the height of
the trapezium is 4 cm and the parallel sides are in
the ratio 1:2, find their lengths.
norallel sides​

Answer 1

• Length of non-parallel sides is 6 cm and 12 cm respectively.

Step-by-step explanation:

Given:-

• Area of trapezium is 36 cm².
• Height of trapezium is 4 cm.
• Parallel sides are in ratio of 1:2 .

To find:-

• Length of parallel sides.

Solution:-

We know,

Area of trapezium = (a + b)/2 × h

In which,

• a and b are parallel sides of trapezium.
• h is height of trapezium

Let, parallel sides be x and 2x.

Put the values,

➜ 36 = (x+2x)/2 × 4

➜ 36 = (3x/2) × 4

➜ 36 = 12x/2

➜ 36 × 2 = 12x

➜ 72 = 12x

➜ 72/12 = x

➜ 6 = x

Or, x = 6

Verification:-

➜ 36 = (x+2x)/2 × 4

• Put x = 6

➜ 36 = (6+2×6)/2 × 4

➜ 36 = (6 + 12)/2 × 4

➜ 36 = (18/2) × 4

➜ 36 = 72/2

➜ 36 = 36

Hence, Verified.

x = 6

2x = 1 × 6 = 12

Therefore,

Length of non-parallel sides is 6 cm and 12 cm respectively.