In Fig. 8.8, what is the ratio of the areas of

a) shaded portion I to shaded portion II?



b) shaded portion II to shaded portion III?


c) shaded portions I and II taken together and shaded portion III?


From the given figure,

Area of shaded portion I = length× width


= 5× 5


= 25 sq. units


Area of portion III = 5× 7 = 35 sq. units


Area of shaded portion II = area of whole portion – (area of shaded portion I+ area of portion III)


= 10× 10 – (25+35)


= 100 – 60 = 40 sq. unit


Area of shaded portions I and II taken together = 25+40 = 65 sq. unit


a) Ratio of area of shaded portion I to shaded portion II=


Ratio = 5:8


b) Ratio of area of shaded portion II to shaded portion III =


Ratio = 8:7


c) Ratio of the area of shaded portions I and II taken together and shaded portion III =


Ratio = 13:7


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