The floor areas of a living room on a house plan measures 3 1/2 inches by 4 5/8 inches. If the scale is 1/4 inch = 1 foot, find the length of the longest side of room in feet.

How do I start this problem?

2 answers

"Scale" means what you multiply something by to get the proper dimensions. So, 1/4 inch on the drawing is 1 foot in real life. How to do this one is to first figure out how many quarter inches are in 4 5/8 inches. Do this by dividing 4 5/8 by .25. The number of quarter inches in 4 5/8 is the number of feet. Make sense?
We have this:

The floor areas of a living room on a house plan measures 3_1/2 inches by 4_ 5/8 inches. If the scale is 1/4 inch = 1 foot, find the length of the longest side of room in feet.

Multiply the given inches.

3_1/2 times 4_5/8 = 16_3/16

The questions reveals that 1/4 = 1 foot in real-life.

To find how many feet in 16_3/16 inches, divide 16_3/16 inches by 1/4 inch.

So, 16_3/16 inches divided by 1/4 =
64_3/4 feet (in real-life) according to the given scale.

64_3/4 feet

Done!