Question

the parallel sides of a trapezium measure 8cm and 12cm if the distance between the parallel sides is 6 cm find area of trapezium​

Answer 1

${\star}{\huge{\blue{{Hello Mate}}}} {\star}$

Given:

• Parallel sides of trapezium are 12cm and 8cm respectively

• Distance between parallel sides (height) = 6cm

To find:

• Area of the trapezium

${\star}{\huge{\red{Solution}}} {\star}$

We should use the formula,

Area of trapezium = 1/2 h(a + b)

Where,

• 'h' is the distance from the parallels

• 'a' and 'b' are the parallel sides

In this question,

• a = 8 cm

• b = 12 cm

• h = 6 cm

Now substituting values in the formula given above we get,

$\frac{1}{2} h(a + b) \\ \\ = \frac{1}{2} \times 6 \times (8 + 12) \\ \\ = 3 \times 20 \\ \\ = 60 {cm}^{2}$

The required answer is $60 {cm}^{2}$

Hope it helps:)