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  • 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 ?

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 ?

 

Answers (1)

Area of shaded portion I = 5 x 5 =25 square units
Area of shaded portion III = 7 x 5 =35square units

Area of whole figure = 10 x 10 = 100 square units
Area of shaded portion II = Area of whole figure - Area of shaded portion I - Area of shaded portion III

                                       = 100 - 25 - 35 = 40 square units

(a) Ratio of the areas of shaded portion I to shaded portion II 

\frac{\text { Area of shaded portion I }}{\text { Area of shaded portion II }} =\frac{25 \text { sq units }}{40 \text { sq units }}=\frac{5}{8}=5: 8

(b) Ratio of the areas of shaded portion II to shaded portion III

\frac{\text { Area of shaded portion II }}{\text { Area of shaded portion III }} =\frac{40 \text { sq units }}{35 \text { sq units }}=\frac{8}{7}=8: 7

(c) Ratio of the areas of shaded portions I and II taken together and shaded portion III 

\frac{\text { Area of shaded portion (I + II) }}{\text { Area of shaded portion II }} =\frac{(25+40) \text { square units }}{35 \text { square units }}=\frac{65}{35} = \frac{13}{7}

Posted by

Ravindra Pindel

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