Question 1098496: the plan of a shopping complex is drawn to a scale of 1:400. A supermarket on the plan occupies an area of 0.25m square, calculate its actual area in hectares
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! On the floorplan the building may be a rectangle with a certain length and width.
If it is so, and those length and width measurements, in m, are represented by  and  respectively,
 .
The actual building length and width measurements, in m, are
 and  ,
so its surface area in  can be calculated as
 .
I was taught in elementary school, than an are is  ,
and that the prefix "hecto" means  .
so  (about the surface area of a city block),
and  is 
But what if the building shape is not a rectangle?
Any 2-D or 3-D shape can be approximated by an arrangement of squares or cubes,
so for any shape that is scaled up or down to get a similar shape
by multiplying all corresponding lengths times a factor  ,
all corresponding surface areas are multiplied times  ,
and all corresponding volumes are multiplied times  .
|
|
|
