Question

If the blueprint is drawn to scale so that every 1⁄2 inch represents 10 yds, what are the dimensions on the blueprint?

A school is considering adding another student parking lot. The dimensions of the area where the parking lot is to be constructed is 50 yds by 30 yds.

Answer 1

See a solution process below:

Explanation:

The scale is:

`1/2"in" = 10"yds"`

We can first multiply the equation for scale by `color(red)(5)` to get one dimension of the blue print:

`color(red)(5) xx 1/2"in" = color(red)(5) xx 10"yds"`

`5/2"in" = 50"yds"`

Or

`2 1/2"in" = 50"yds"`

We can next multiply the equation for scale by `color(red)(3)` to get the other dimension of the blue print:

`color(red)(3) xx 1/2"in" = color(red)(3) xx 10"yds"`

`3/2"in" = 30"yds"`

Or

`1 1/2"in" = 30"yds"`

The dimension of the portion of the blue print showing the new student parking lot would be:

`2 1/2" inches by "1 1/2" inches"`