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?

"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!

To start this problem, you need to convert the measurements on the house plan to the actual measurements in feet. Since the scale is 1/4 inch = 1 foot, you can multiply the measurements on the house plan by 1/4 to find the corresponding measurements in feet.

To solve this problem, you need to follow these steps:

1. Write down the measurements of the living room's floor area from the house plan. In this case, the length is given as 3 1/2 inches, and the width is given as 4 5/8 inches.

2. Next, determine the scale of the house plan. In this case, the scale is stated as 1/4 inch = 1 foot. This means that every 1/4 inch on the house plan represents 1 foot in reality.

3. Convert the measurements from inches to feet according to the scale. Since the scale is 1/4 inch = 1 foot, divide each measurement by 4 to get the corresponding length in feet.

4. Calculate the length of the longest side of the living room in feet. Compare the converted length and width, and determine which is longer.

5. Finally, write down the length of the longest side in feet.

Let's follow these steps. Do you need help with any specific step?