The schematic of a rectangular patio is drawn 1/8 inch to a 1 foot. If the patio is 15 feet long, what is the measure of the patio's length on the schematic?
To find the length of the patio on the schematic, we need to determine the scale factor of the drawing.
The scale given is 1/8 inch to 1 foot. This means that for every 1 foot in real life, it is represented as 1/8 inch on the schematic.
Since the length of the patio is 15 feet, we can multiply this by the scale factor to find the length on the schematic:
15 feet * (1/8 inch/1 foot) = 15/8 inch
Therefore, the length of the patio on the schematic is 15/8 inch.
To find the measure of the patio's length on the schematic, we need to convert the given scale ratio of 1/8 inch to a 1 foot into a common unit of measurement.
First, let's convert the length of the patio into the same unit as the scale. Since the patio is 15 feet long, we need to convert it to inches to match the scale.
We know that 1 foot is equal to 12 inches, so the patio's length in inches would be:
15 feet * 12 inches/foot = 180 inches.
Now, let's calculate the measure of the patio's length on the schematic using the scale ratio. For every 1 foot on the schematic, we have 1/8 inch.
To get the total length on the schematic, we multiply the patio's length in inches (180) by the scale ratio (1/8 inch to 1 foot):
180 inches * (1/8 inch/1 foot) = (180/8) feet.
Simplifying this expression, we have:
(180/8) feet = 22.5 feet.
Therefore, the measure of the patio's length on the schematic is 22.5 feet.
if 1 ft corresponds with 1/8 inch
then 15 ft correspond with 15(1/8) inches
= 15/8 inches or 1 7/8 inches