Given:
Scale of the map 1 1/4cm : 8 yards
Rectangular Park: width : 2 1/2 cm ; length : 6 1/4 cm
Circular Pond: pi = 3.14 ; diameter 1 1/4 cm
Convert mixed factions into fractions.
Scale 1 1/4 = (41+1)/4 = 5/4
Width: 2 1/2 = (22+1)/2 = 5/2
Length: 6 1/4 = (46+1)/4 = 25/4
Diameter: 1 1/4 = (41+1)/4 = 5/4
width / scale 8 yds = width in yards
5/2 ÷ 5/4 = 5/2 4/5 = 20/10 = 2 8 yds = 16 yds
length / scale 8 yds = length in yards
25/4 ÷ 5/4 = 25/4 4/5 = 100/20 = 5 8 yds = 40 yds
Area of a rectangular park = l w = 40 yds 16 yds = 640 yds²
diameter / scale 8 yds = diameter in yards
5/4 ÷ 5/4 = 5/4 4/5 = 20/20 = 1 8 yds = 8 yds.
radius = d/2 = 8/2 = 4
Area of a circular pond = πr² = 3.14 4² = 3.14 * 16yds² = 50.24 yds²
