Question

18. The area of a trapezium is 340 sq.cm. If the lengths of the parallel sides are 20
cm and 14 cm, the distance between them is​

Answer 1

Answer:

Distance between || sides is 20cm

Given:

• Length of opposite || sides=20cm and 14cm

• Area of trapezium=340cm²

To find:

• Distance between || sides (i.e. height of trapezium)

Solution:

We have formula for area of trapezium:

Area of trapezium=½×(Sum of || sides)×Height

⇒ 340cm²=½×(20cm +14cm)×Height

⇒ 340cm²=½×(34cm)×Height

⇒ 340cm²=17cm=Height

⇒ (340cm²)/17cm=Height

⇒ 20cm=Height

Since height of trapezium is 20cm, the distance between it's parellel side will also be 20cm.

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