Question

Two parallel sides DC and AB of a trapezium are 12 cm and 36 cm respectively. If non parallel sides are each equal to 15cm, find the area of trapezium

Answer 1

Divide the trapezium into parallelogram and triangle
Use heron's formula to find the area for triangle and then find height by the formula of triangle
area:-1/2*b*h
after getting height use the formula trapezium
area:-1/2*(sum of lenght of parallel sides)*h

Answer 2

After using the info in the attached pic use Pythagoras to find height.

√(225-144)=bf^2

√121=bf^2

11=bf

Now apply area if trap formula

1/2(h)(P1+p2)