# Q 11.     Split the following shapes into rectangles and find their areas. (The measures are given in centimetres)

Answers (1)

(a) Split the given figure into a small rectangle, as shown here;

Now, the area of the rectangle (I) = $l\times b$ = 12 $\times$ 2 = $24cm^2$
the area of the rectangle (II) = $l\times b$ = 8 $\times$ 2=  $16cm^2$

Therefore, Total area = $24cm^2 + 16cm^2 = 40cm^2$

(b) Split the given figure into a small rectangle, as shown here;

Now, the area of the rectangle (I) = $l\times b$ = 7 $\times$7 = $49 cm^2$
the area of the rectangle (II) = $l\times b$ = 21 $\times$ 7= $147 cm^2$
Now, the area of the rectangle (III) = $l\times b$ = 7 $\times$7 = $49 cm^2$

Therefore, Total area = $49cm^2 + 147cm^2 + 49cm^2 = 245 cm^2$

(c) Split the given figure into a small rectangle, as shown here;

Now, the area of the rectangle (I) = $l\times b$ = 2 $\times$ 1 =$2 cm^2$
the area of the rectangle (II) = $l\times b$ = 5 $\times$ 1= $5 cm^2$
Now, the area of the rectangle (III) = $l\times b$ = 2 $\times$1 = $2 cm^2$

Therefore, Total area = $2 cm^2 + 5cm^2 + 2cm^2 = 9cm^2$

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