Question

The parallel sides of a trapezium measure 12 cm and 20 cm. Calculate its area if the distance between the parallel lines is 15 cm.​

Answer 1

The area of the trapezium is 240 cm^2

Step-by-step explanation:

Parrallel sides of the trapezium = 12 and 20 cm

Height = 15 cm

Now area of the required trapezium,

= > \frac{1}{2} \times (sum \: of \: parrallel \: sides) \times height=>

2

1

×(sumofparrallelsides)×height

= > \frac{1}{2} \times (20 + 12) \times 15 = 240 \: {cm}^{2}=>

2

1

×(20+12)×15=240cm

2

So the area of the required trapezium is 240 cm^2

Answer 2

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The mid points distance is the average hence,

1/2× sum of parallel sides = 18 cm

∴18×12= Area

Area = 216cm ^2