A fitness center has a scaled dimension of 1-1/2 in by 2 in

Question

If the factir is 1/4"=20' what is the area of the center

Answer 1

This problem could be solved in a couple of different ways. This first way is the easiest, as I see it.

First I would covert the map dimensions to the "actual" dimensions. If 1/4" on the map is equal to 20 ft. in real life, then the dimensions of the fitness center are:

1/4 is added 6 times to get 1-1/2, meaning that 6*20ft is 120 ft (the measurement of the shorter side)

1/4 is added 8 times to get 2, meaning that 8*20 is 160 ft (the measurement of the longer side)

Finally, the last step is the easiest: multiply one side by the other to get the area of the rectangular center:

120 ft * 160 ft = 19200 ft(squared)

Another way of solving this problem is to first multiply the dimensions of the scaled room:

1.5 in * 2 in = 3 in(squared)

Then you'd take the area of the squared and multiply it by the ratio of the measurement of the sides to the measurement of the map. Because the ratio of 1/4 (in) to 20 (ft) is the same as 1(in):80 (ft)--and for BOTH sides--you would take multiply the map area (3in.squared) by the scale ratio (80ft/in) TWICE, such that:

3in(squared) * 80ft/in * 80ft/in = 19200 ft(squared)