In: Physics
It is not mentioned whether the fraction of the region to the geoboard or to the figure is to be found out. Both has been done
a)
The geoboard and the corresponding lines are shown in the image below
The region is shaded with green color in the figure below.
The area of region 1 and 4 will together give 1 square units. 2 and 3 will contribute 1 square unit each.
Total area of shaded portion = 4 squts
Total area of the geoboard = 16 squts
Fraction of shaded region to the geoboard = 4/16 = 1/4.
Area of image = 7 squts
Fraction of shaded region to the image in the geoboard = 4/7
b)
The geoboard and the corresponding lines are shown in the image below
The region is shaded with green color in the figure below.
Total area of shaded portion = 4 squts
Total area of the geoboard = 16 squts
Fraction of shaded region to the geoboard = 4/16 = 1/4.
Area of image = 12 squts
Fraction of shaded region to the figure in the geoboard= 4/12 = 1/3