Question

Pearl is drawing the floorplan of a rectangular shop. The width of the actual shop is
7 metres. She draws the width of the shop as 14 centimetres.
a. Determine the ratio of the width of the shop on the floorplan to the width of the
actual shop.

Answer 1

We need to convert the units to make the comparison. We can convert the width of the shop on the floorplan to metres by dividing by 100 (since 1 cm = 0.01 m):

Width of shop on floorplan = 14 cm = 0.14 m

Now we can calculate the ratio:

Ratio of width of shop on floorplan to width of actual shop = (0.14 m)/(7 m) = 0.02 = 2:100 = 1:50

Therefore, the ratio of the width of the shop on the floorplan to the width of the actual shop is 1:50.