A blueprint of a kitchen has a scale of 1/8 inch is equivalent to 1 foot. If the pantry measures 1/2 inch by 3/4 inch on the blueprint, what are the actual dimensions of the pantry?
How many feet by how many feet?
1/8 inch : 1/2 inch = 1 ft : x ft
(1/8) / (1/2) = 1/x
(1/8)x = 1/2
multiply both sides by 8
x = 4
so the 1/2 inch on the blueprint represents 4 ft of actual dimension
or, even simpler:
1/8 inch : 1/2 inch = 1 ft : x ft
1 : 4 = 1 : x
x = 4, knowing the rules of ratios
repeat those steps for the 3/4 inch on the blueprint.
Well, first of all, I have to say, that's one tiny pantry on the blueprint! It must be perfect for storing a single cookie. Now, let's do some math. We know that 1/8 inch on the blueprint is equivalent to 1 foot in real life. So, if the pantry measures 1/2 inch on the blueprint, it would be 4 feet in reality. And if it measures 3/4 inch on the blueprint, it would be 6 feet in reality. So, the actual dimensions of the pantry are 4 feet by 6 feet. That's much more spacious than what the blueprint suggests!
To find the actual dimensions of the pantry, we need to convert the measurements on the blueprint to actual feet.
Given:
Scale: 1/8 inch = 1 foot
Pantry on blueprint: 1/2 inch by 3/4 inch
To convert 1/2 inch to feet:
1/2 inch * 1 foot / 1/8 inch = 1/2 * 8/1 = 4 feet
To convert 3/4 inch to feet:
3/4 inch * 1 foot / 1/8 inch = 3/4 * 8/1 = 6 feet
Therefore, the actual dimensions of the pantry are 4 feet by 6 feet.
To find the actual dimensions of the pantry, we need to use the given scale. The scale states that 1/8 inch on the blueprint represents 1 foot in reality.
First, let's convert the dimensions of the pantry from the blueprint scale to inches:
Width on blueprint = 1/2 inch
Length on blueprint = 3/4 inch
Next, we can convert the blueprint measurements to their equivalent actual measurements using the scale:
Width in inches = Width on blueprint * Scale
Width in inches = 1/2 inch * 1 foot / 1/8 inch
Width in inches = 1/2 inch * 8 feet
Width in inches = 4 feet
Length in inches = Length on blueprint * Scale
Length in inches = 3/4 inch * 1 foot / 1/8 inch
Length in inches = 3/4 inch * 8 feet
Length in inches = 6 feet
Therefore, the actual dimensions of the pantry are 4 feet by 6 feet.