Question

Azhar has a trapezium shaped farm. He divide it into three parts as shown in the figure.

Show that the area of the trapezium PQRS = Area of ∆SPT + area of rectangle STUR + area of ∆RUQ. And compare it with the area of the trapezium \(h \times \frac{(a+b)}{2}\)

Answer 1

Area of ∆ SPT = \(\frac{Base \, \times\, Height}{2}\)

From (1) and (2) we find that area of trapezium PQRS is equal by both ways.