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

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

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(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 \times7 = 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 \times7 = 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 \times1 = 2 cm^2

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

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