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