# 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) = $l\times b$ = 4 $\times$ 3 = 12 $cm^2$
the area of the rectangle (II) = $l\times b$ = 3 $\times$ 2= 6 $cm^2$
the area of the rectangle (III) = $l\times b$ = 4 $\times$ 1 = 4 $cm^2$
the area of the rectangle (IV) = $l\times b$ = 3 $\times$ 2 = 6 $cm^2$

So, the total area of the figure = sum area of all rectangles
= (12 + 6 + 4 + 6) $cm^2$
= 28 $cm^2$

(b) Split the given figure into smalle rectangles  as shown here;

the area of the rectangle (I) = $l\times b$ = 3 $\times$ 1 = 3 $cm^2$
the area of the rectangle (II) = $l\times b$ = 3 $\times$ 1= 3 $cm^2$
the area of the rectangle (III) = $l\times b$ = 3 $\times$ 1 = 3 $cm^2$?

Therefore, the total area of the figure = sum of the area of all the small rectangles
= $3+3+3$
= $9cm^2$

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