Question

The area of a square floor on a scale drawing is 36 square centimeters, and the scale drawing is

Answer 1

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 :)