Question

The main arena hall has dimensions 200 m by 85 m. On a large diagram on the office wall the scale is 1:40. What are the dimensions of the floor space on the diagram?

Answer 1

oof what a hard one! hold one

Answer 2

If the scale factor is m:n = m/n

If the length is x of the original shape, the dimensions on diagram are

`(m)/(n) x`

If the width is y of the original shape, the dimensions on diagram are

`(m)/(n) y`

Here the scale factor is 1/40

The dimensions of the arena hall are 200 m by 85 m.

Hence length = 200m

So length on diagram

=
`(1)/(40)200=5`

On diagram it shall be 5 m

The width = 85 m

So width on the diagram

=
`(1)/(40) 85=2.125`

On diagram width shall be 2.125m

The length on the diagram shall be 5 m & the width shall be 2.125 m.