Question

a scale drawing of a lake has a scale of 1cm to 80 m. if the actual widthof the lake is 1,000 m, what is the width of the lake on the scale drawing? explain or show your reasoning.

Answer 1

12.5 cm

Explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of
`(map)/(real world)` and simplify.

We know
`(map)/(real world)=(1cm)/(80 meters)`. We also know

`(xcm)/(1000miles)`.

We set them equal.

`(x)/(1000)=(1)/(80)`

To find the width on the map, we cross multiply numerator and denominator.

`x(80)= 1000 (1)\\80x=1000\\(80x)/(80) =(1000)/(80) \\x=12.5 cm`