Question

The parallel sides of a trapezium are 50 cm and 22 cm. While non-parallel sides are 30 cm and 26 cm . Find the area of trapezium

Answer 1

The parallel sides of a trapezium are 20m and 30m, and its non-parallel sides are 6m and 8m. What is the area of the trapezium?

Consider a trapezium ABCD with AB=20 m, BC = 6 m, CD = 30 m and DA = 8 m.

Drop a perpendicular from A on CD to meet that line at E. We consider the figure ABCD as a combination of a rectangle ABCE and a triangle AED. <B = <C = 90.

Area of ABCE = 20*6 = 120 sq m.

Area of AED can EB found by Heron’s formula where 2s =6+10+8 = 24, or s = 12

Area AED = [12(12–6)(12–10)(12–8)]^0.5

= [12*6*2*4]^0.5= 24 sq m.

Total area of ABCE + AED = 120+24 = 144 sq m.

To be hint ths answer

Answer 2

Answer:

answer is=864 cm square