Answer to Question #20243 in Geometry for Earl louie

Question

A plan of a building is made on a scale of 1cm to 2m. What area on the map will represent hall if its length and breadth are 25m and 18m, respectively?

Answer 1

As a plan of a building is made on a scale of 1cm to 2m, then the plan is

N = 2[m]/1[cm] = 200[cm]/1[cm] = 200

times less then the original building. So, the hall of the length and breadth of 25m and 18m will be represented on the map by the area of

A = (25[m]/200)·(18[m]/200) = 0.01125[m²].