Area of a square = x² ( x is the length of a side)
Area = 36cm² = x² = 6²
length of one side of the square in the scale drawing = 6cm
since the diagram is scaled to 1cm : 3ft
the actual length = 6 × 3 ft = 18ft
the actual area = x² = 18² = 324 ft²
the ratio of the area in the drawing to the
actual area is
36 cm² : 324 ft²
to get the simplest ratio we divide both sides by 36 ( as 36 is the factor they both share in common)
the simplest ratio of the area in the drawing to the
actual area is
1 : 9
Hope you understood :)
