On a scale drawing 1/4 in equals 1 foot . If the length of a room on a scale drawing is 5 1/4in , how long is the room ?

I just need someone to help me through this problem cause I don't get how to do it at all .

One way to solve this problem is to set up a proportion. Cross multiply and solve for x. (Note that I changed the fractions to their decimal equivalents.)

0.25/1 = 5.25/x

0.25x = 5.25

x = 21 feet

very helpful

To solve this problem, we need to use the given scale ratio of 1/4 inch to 1 foot.

First, convert the length of the room on the scale drawing (5 1/4 inches) to feet.

To do this, we divide 5 1/4 by 1/4 since 1 foot is equivalent to 1/4 inch on the scale drawing.

5 1/4 ÷ 1/4 = 21

Therefore, the length of the room is 21 feet.

To solve this problem, you need to understand the concept of a scale drawing. In a scale drawing, each unit on the drawing represents a certain number of units in real life. In this case, the scale is 1/4 inch represents 1 foot.

Step 1: Identify the scale ratio
The given scale is 1/4 inch equals 1 foot. This means that every 1/4 inch on the drawing represents 1 foot in real life.

Step 2: Determine the length on the scale drawing
The length of the room on the scale drawing is given as 5 1/4 inches.

Step 3: Convert the length on the scale drawing to real life dimensions
To find the actual length of the room, you need to use the scale ratio. Since 1/4 inch on the drawing represents 1 foot in real life, you can set up a proportion and solve for the length of the room.

1/4 inch = 1 foot
5 1/4 inches = x feet

To solve this proportion, cross-multiply and then divide:
(1/4) * x = (5 1/4) * 1
x = (5 1/4) * 1 / (1/4)
x = (21/4) / (1/4)
x = 21/1
x = 21 feet

Therefore, the length of the room is 21 feet.