Question

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3. (a) Find the area of the trapezium whose parallel sides are 16 cm and 15 cm, and the distance
between the parallel sides is 20 cm.​

Answer 1

Answer:

310 sq. cm

Step-by-step explanation:

Given that,

There is a trapezium.

Also, given that,

Length of it's parallel sides are 16 cm and 15 cm.

Also,

Distance between the parallel sides = 20 cm

To find the area of trapezium.

We know that,

Area of a trapezium is given by,

Area = ½ × (sum of parallel sides ) × (distance between them)

So, we need to find,

Sum of parallel sides = 16 + 15 = 31 cm

Therefore, we get,

=> Area = ½ × 31 × 20

=> Area = 31 × 10

=> Area = 310

Hence, the area of trapezium is 310 sq. cm.

Answer 2

Given :

• One parallel side of trapezium = 16 cm.

• Another parallel side of trapezium = 15 cm.

• Distance between the parallel sides is 20 cm.

To find :

• Area of Trapezium =?

Step-by-step explanation :

We know that,

Area of a trapezium = 1/2 × sum of its parallel sides × Distance between them

Substituting the values in the above formula, we get,

= 1/2 × (16 + 15) × 20

= 1/2 × 31 × 20

= 31 × 10

= 310.

Therefore, Area of Trapezium = 310 cm².