Q 10. By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).
(a) Split the given figures into small rectangular parts as shown here;
Now, the area of the rectangle (I) = = 4 3 = 12
the area of the rectangle (II) = = 3 2= 6
the area of the rectangle (III) = = 4 1 = 4
the area of the rectangle (IV) = = 3 2 = 6
So, the total area of the figure = sum area of all rectangles
= (12 + 6 + 4 + 6)
= 28
(b) Split the given figure into smalle rectangles as shown here;
the area of the rectangle (I) = = 3 1 = 3
the area of the rectangle (II) = = 3 1= 3
the area of the rectangle (III) = = 3 1 = 3 ?
Therefore, the total area of the figure = sum of the area of all the small rectangles
=
=