Math Question

Question

over the break, your uncle and aunt ask you to help them cement the foundation of their newly purchased land and give you a top-view blueprint of the area and proposed layout. A small legend on the corner states that 4 inches of the length corresponds to an actual length of 52 feet.

 

1) if the dimensions of the foundation on the blueprint are 11 by 13 inches, what are the actual dimensions in feet?

Answer 1

This is a proportionality problem:

 

4   inches → 52 feet

11 inches →   x feet

13 inches →   y feet

 

The proportionality for the 11 inch dimension is

 

4/11  = 52/x

 

x = 11 * 52 / 4 = 143 feet

 

The proportionality for the 13 inch dimension is

 

4/13 = 52/y

 

y = 13 * 52 / 4 = 169 feet

 

So the land dimensions are 143 feet x 169 feet