Question

13. The area of a trapezium is 40 cm2. Its
parallel sides are 12 cm & 8 cm. What is the
distance between the parallel sides?
(1 Point)
2 cm
4 cm
6 cm​

Answer 1

Answer:

The distance between the parallel sides of the trapezium is 4 cm.

Area of trapezium = 1/2 × 12 + 8 × distance between the two parallel sides

= 1/2 ×20 ×height

40 = 10h

h = 40 /10

h = 4 cm

Step-by-step explanation:

I hope it helps you

Answer 2

Given,

Area of a trapezium = 40 cm^2

Length of its longer parallel side = 12 cm

Length of its shorter parallel side = 8 cm

To find,

The distance between the parallel sides.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the distance between the parallel sides of the trapezium is x cm.

As per mensuration;

Area of a trapezium

= 1/2 × (sum of its parallel sides) × (distance between the parallel sides)

Now, according to the question;

Area of a trapezium = 40 cm^2

=> 1/2 × (sum of its parallel sides) × (distance between the parallel sides) = 40 cm^2

=> 1/2(12 cm + 8 cm) × x = 40 cm^2

=> 1/2(20 cm) × x = 40 cm^2

=> 10 cm × x = 40 cm^2

=> x = 4 cm

Hence, the distance between the parallel sides is equal to 4 centimeters.