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  • By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).

Q 10.     By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).

                

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(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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