Figure (i)
Area of given figure = Area of trapezium + area of rectangle
Area of given figure = \(\frac{1}{2}\)x (sum of parallel sides) x altitude + length x breadth
Area of given figure = \(\frac{1}{2}\)x (18 + 7) x 8 + 18 x 18
Area of given figure = 100 +324 = 424
Therefore area of given figure is 424 cm2
Figure (ii)
Area of given figure = Area of trapezium + area of rectangle
Area of given figure = \(\frac{1}{2}\)x (sum of parallel sides) x altitude + length x breadth
Area of given figure = \(\frac{1}{2}\)x (15 + 6) x 8 + 15 x 20
Area of given figure = 84 + 300 = 384
Therefore area of given figure is 384 cm2
Figure (iii)
Using pythagorous theorem in the right angled triangle
52 = 42 + x2
x2 = 25 – 16
x2 = 9
x = 3 cm
Area of given figure = Area of trapezium + area of rectangle
Area of given figure = \(\frac{1}{2}\)x (sum of parallel sides) x altitude + length x breadth
Area of given figure = \(\frac{1}{2}\)x (14 + 6) x 3 + 4 x 6
Area of given figure = 30 + 24 = 54
Therefore area of given figure is 54 cm2