Question

The parallel sides of a trapezium measure 14cm and 22cm .Calculate its area if the distance between the parallel lines is 15cm. (plz step by step ‍♂️ if possible send in photo ) ​

Answer 1

Given :-

Parallel sides of a trapezium = 14 cm and 22 cm

The distance between two parallel lines = 15 cm

To Find :-

The area of a trapezium.

Analysis :-

$\sf Area \ of \ trapezium=\dfrac{1}{2} \times (Sum \ of \ parallel \ sides) \times (Distance \ between \ them)$

Solution :-

Given that,

Parallel sides of a trapezium are 14 cm and 22 cm

The distance between two parallel sides is 15 cm

The formula used to find the area of trapezium is given by :

$\underline{\boxed{\sf Area \ of \ trapezium=\dfrac{1}{2} \times (Sum \ of \ parallel \ sides) \times (Distance \ between \ them)}}$

Substituting their values, we get

$\sf Area \ of \ trapezium=\dfrac{1}{2} \times(14+22) \times 15$

$\sf Area \ of \ trapezium=\dfrac{1}{2} \times(36) \times 15$

$\sf Area \ of \ trapezium=\dfrac{1}{2} \times 540$

$\sf Area \ of \ trapezium=270 \: cm^{2}$

Therefore, the area of the trapezium is 270 cm²