Question

Nazma’s sister also has trapezium shaped plot. Divide it into three parts as shown (see figure). Show that area pf trapezium WXYZ = h (a + b)/2

Answer 1

☆ Area of Trapezium :-

• ➟ Area of ∆ ZWA + Area of rectangle ZYBA + Area of ∆ YBX.

• $➟ \: \frac{1}{2} \times c \: \times \: h \: + \: b \: \times h \: + \: \frac{1}{2} \: d \: \times \: h$

• $➟ \: \frac{1}{2} \: ch \: + \: bh \: + \: \frac{1}{2} \: dh$

• $➟ \: \frac{1}{2} \: h \: (c \: + \: 2b \: + \: d)$

• $➟ \: \frac{1}{2} \: h \: (c \: + \: 2b \: + \: a \: - \: b \: - \: c) \: = \: \frac{1}{2} \: h \: (a \: + \: b)$

Answer 2

Nazma’s sister also has trapezium shaped plot. Divide it into three parts as shown (see figure). Show that area pf trapezium WXYZ = h (a + b)/2