Question

The parallel sides of a trapezium is 17 cm and 25 cm.If the distance between them is 13 cm, find the area of that trapezium. ​

Answer 1

Here's the answer in the attachment.

Hope it helps.

Answer 2

✬ Area = 273 cm² ✬

Step-by-step explanation:

Given:

• Measure of parallel sides of trapezium are 17 & 25 cm.
• Distance between parallel sides is 13 cm.

To Find:

• What is the area of trapezium ?

Solution: Let ABCD be a trapezium in which

• AB = 25 cm
• DC = 17 cm
• DE = 13 cm

As we know that

★ Area of trapezium = 1/2(Sum of || sides)(Height) ★

$\implies{\rm }$ Area = 1/2(25 + 17)(13)

$\implies{\rm }$ 1/2 × 42 × 13

$\implies{\rm }$ 21 × 13

$\implies{\rm }$ 273 cm²

Hence, the area of trapezium is 273 cm².

• Only one pair of opposite sides are parallel to each other.

• Like other quadrilaterals, the sum of all the four angles of the trapezium is equal to 360°.