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.
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.
To determine the ratio of the width of the shop on the floorplan to the width of the actual shop, we need to convert the measurements to the same unit.
Since the width of the actual shop is given in meters (m) and the width on the floorplan is given in centimeters (cm), we need to convert the width of the actual shop to centimeters.
1 meter is equal to 100 centimeters, so:
7 meters = 7 x 100 = 700 centimeters
Now that we have both measurements in centimeters, we can find the ratio:
Ratio = Width on floorplan / Width of actual shop
Plugging in the values:
Ratio = 14 centimeters / 700 centimeters
Simplifying the ratio:
Ratio = 1/50
Therefore, the ratio of the width of the shop on the floorplan to the width of the actual shop is 1:50.