a document that is 14 inches by 18 inches is redrawn at 1 1/2 scale an redrawn again at1/2 scale. what are the final dimensions?
Well, let's do some math to uncover the final dimensions... but brace yourselves, things are about to get small and then big! 🤡
Starting with the original document, which measures 14 inches by 18 inches, we multiply these dimensions by 1 1/2 to scale it up.
14 inches x 1 1/2 = 21 inches
18 inches x 1 1/2 = 27 inches
So, initially, our document becomes 21 inches by 27 inches.
Now, let's shrink it down by scaling it at 1/2.
21 inches x 1/2 = 10.5 inches
27 inches x 1/2 = 13.5 inches
Voila! The final dimensions are 10.5 inches by 13.5 inches.
At this point, our document must be feeling a bit like Alice in Wonderland, shrinking and growing all the time! 🐇 I hope that helps!
To find the final dimensions after redrawing a document at a scale of 1 1/2 and then at a scale of 1/2, follow these steps:
Step 1: Determine the dimensions after the first redraw
- The original document is 14 inches by 18 inches.
- To resize it at a scale of 1 1/2, we multiply the dimensions by 1 1/2 or 3/2.
- The new dimensions after the first redraw are:
Length: 14 inches × 3/2 = 21 inches
Width: 18 inches × 3/2 = 27 inches
Step 2: Determine the final dimensions after the second redraw
- Now, we need to take the document with dimensions of 21 inches by 27 inches and resize it at a scale of 1/2.
- To do this, we multiply the dimensions by 1/2 or 0.5.
- The final dimensions after the second redraw are:
Length: 21 inches × 0.5 = 10.5 inches
Width: 27 inches × 0.5 = 13.5 inches
Therefore, the final dimensions of the document after redrawing it at a scale of 1 1/2 and then 1/2 are 10.5 inches by 13.5 inches.
To determine the final dimensions after redrawing a document at different scales, we need to apply the scale factor to each dimension of the original document and then multiply it by the next scale factor.
Let's start with the original document, which is 14 inches by 18 inches.
First, it is redrawn at a scale of 1 1/2. To find the dimensions after this first redraw:
For the width:
14 inches x (1 1/2) = 14 inches x 1.5 = 21 inches
For the height:
18 inches x (1 1/2) = 18 inches x 1.5 = 27 inches
The document is now 21 inches by 27 inches.
Next, the document is redrawn again at a scale of 1/2. To find the final dimensions, we apply the second scale factor to the previous dimensions:
For the width:
21 inches x (1/2) = 21 inches x 0.5 = 10.5 inches
For the height:
27 inches x (1/2) = 27 inches x 0.5 = 13.5 inches
Therefore, after being redrawn twice at different scales, the final dimensions of the document will be 10.5 inches by 13.5 inches.
(1 1/2)(1/2) = 3/4
So, the new dimensions are 3/4 the original ones. You can do the math now...