Question

The parallel sides of a trapezium are 20 cm and 13 cm . It's non parallel sides are 10 cm each. Find the area of trapezium

Answer 1

Answer:

Explanation:

Given :

• Height of a trapezium (h) = 10 cm
• Parallel sides of a trapezium = 20 cm and 13 cm

To Find :

• Area of trapezium.

Formula to be used :

• Area of trapezium = 1/2 × (Sum of parallel sides) × height

Solution :

★Area of a trapezium,

Area = 1/2 × ( sum of || sides) × height

⇒ Area = 1/2 × (20 + 13) × 10

⇒ Area = 33 × 5

⇒ Area = 165 cm^2

Hence, Area of the trapezium is 165 cm^2.

Answer 2

✦Given:

➨ Parallel sides of Trapezium are 20 cm and 13 cm.$\:$

➨ Measure of non parallel side i.e height of trapezium

is 10 cm.

✦To Find:

➨ Find the area of trapezium ?

✦Solution:

➨ Let ABCD be a trapezium.

✦Where,

➨ AB = 20 cm

➨ DC = 13 cm

➨ DE = 10 cm (Height)

➨ AB || DC

✦We know that,

⇝ Area of Trapezium = ½ (Sum of parallel sides) × (Distance between them)

➨ ½ × (AB + DC) × DE

➨ ½ × (20 + 13) × 10

➨ ½ × (33) × 10

➨ ½ × 330 = 165 cm²

⇝The Area of Trapezium = 165 cm²

__________________________________

Extra Info:-

Properties of Trapezium:

• The sum of all the four angles of the trapezium is equal to 360.

• A trapezium has two parallel sides and two non-parallel sides.

• The diagonals of regular trapezium bisect each other.

• The length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium.

• Two pairs of adjacent angles of a trapezium formed between the parallel sides and one of the non-parallel side, add up to 180 degrees.