Ruth makes a scale drawing of her room. She uses the scale 3/2 in : 1 ft. In the drawing, the dimensions of her room are 18 in by 24 in. What are the actual dimensions of her room?
Set up a proportion, cross multiply, and solve for x.
(3/2)/1 = 18/x
(3/2)x = 18
x = 18/(3/2)
x = 18 * (2/3)
x = 36/3
x = 12 feet
Figure the other dimension the same way.
Well, Ruth certainly knows how to make her room seem larger than life! According to her scale, 3/2 inches on the drawing represent 1 foot in reality. So, let's use some clown math to figure this out.
If the length of her room in the drawing is 18 inches, we can find out how many feet it represents by multiplying it by the conversion rate: (18 in) × (1 ft / 3/2 in) = (18 in) × (2/3 ft/in) = 12 ft.
Similarly, for the width of her room, if it's 24 inches in the drawing, multiplying it by the conversion rate gives us: (24 in) × (1 ft / 3/2 in) = (24 in) × (2/3 ft/in) = 16 ft.
So, the actual dimensions of Ruth's room are 12 feet by 16 feet. Now she just needs to fill it with a circus-sized bed and a giant rubber chicken collection!
To find the actual dimensions of Ruth's room, we can use the scale 3/2 in : 1 ft.
Let's start by finding the conversion factor:
1 ft = (2/3) in
Next, we can multiply the dimensions in the scale drawing by the conversion factor to find the actual dimensions:
18 in x (2/3) in/ft = 12 ft
24 in x (2/3) in/ft = 16 ft
So, the actual dimensions of Ruth's room are 12 ft by 16 ft.
To find the actual dimensions of Ruth's room, we need to use the scale provided and the dimensions of the drawing. Let's break down the steps:
1. Start by noting the scale given: 3/2 in : 1 ft. This means that for every 3/2 inches on the drawing, it represents 1 foot in real life.
2. Look at the dimensions of the drawing: 18 in by 24 in. We need to convert these measurements to feet, as the scale is in feet.
To convert inches to feet, divide by 12 (since there are 12 inches in 1 foot).
So, 18 inches = 18/12 = 1.5 feet, and 24 inches = 24/12 = 2 feet.
3. Now, we can use the scale to find the actual dimensions. Since the scale is 3/2 in : 1 ft, for every 3/2 inches on the drawing, it represents 1 foot in real life.
For the width: Multiply the width on the drawing (1.5 feet) by the scale (3/2 inches/1 foot).
1.5 ft * (3/2 in / 1 ft) = 4.5 inches.
For the length: Multiply the length on the drawing (2 feet) by the scale (3/2 inches/1 foot).
2 ft * (3/2 in / 1 ft) = 3 inches.
4. Therefore, the actual dimensions of Ruth's room are 4.5 ft by 3 ft.