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