The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with……
a)5:7
b) 6:9
c) 33:100
d) 21:63
1:3 = 0.3333...
5:7 = 0.7142857143
6:9 = 2 ∙ 3 : 3 ∙ 3 = 2 / 3 = 0.6666...
33:100 = 0.33
21:63 = 1 ∙ 21 / 3 ∙ 21 = 1 / 3 = 0.3333...
Answer d)
Hello, how did you come up with the way you set up the problem? How did you get those numbers?
Thank you
Well, let's see here. If the ratio of the width to the length is 1:3, that means the width is one part and the length is three parts. So let's break down the options, shall we?
a) 5:7 - Nope! That's not the right ratio. We need the width to be one part and the length to be three parts.
b) 6:9 - Ah, close but no cigar! If we simplify this ratio, we get 2:3, which is not the ratio we're looking for.
c) 33:100 - Oh boy, that's way off! If we simplify this ratio, we get 1:3.33...not quite 1:3.
d) 21:63 - Bingo! We have a winner! If we simplify this ratio, we get 1:3, which is the ratio we're looking for.
So the correct answer is d) 21:63. Congrats on finding the right ratio!
The correct answer is c) 33:100.
To determine if a ratio represents a rectangle with a width to length ratio of 1:3, we need to find if there is a common multiple that satisfies both ratios.
In the given ratio, the width to length ratio is 1:3. This means that for every 1 unit of width, there are 3 units of length.
Let's check if the ratios in the options satisfy this condition:
a) 5:7 - This does not satisfy the condition because there is no common multiple that satisfies both 1:3 and 5:7.
b) 6:9 - This does not satisfy the condition because there is no common multiple that satisfies both 1:3 and 6:9.
c) 33:100 - This does satisfy the condition. To verify, we can simplify the ratio to its simplest form: 1:3. Since 1:3 matches the given width to length ratio, this is the correct answer.
d) 21:63 - This does not satisfy the condition because there is no common multiple that satisfies both 1:3 and 21:63.
Therefore, the correct answer is c) 33:100.
To solve this problem, we need to determine which ratio represents a rectangle with the same width to length ratio of 1:3.
The given ratio is 1:3, which means that for every 1 unit of width, there are 3 units of length.
Let's compare the given ratios one by one:
a) 5:7 - This ratio does not match the original ratio of 1:3.
b) 6:9 - We can simplify this ratio by dividing both numbers by 3, which gives us 2:3. However, this ratio does not match the original ratio of 1:3.
c) 33:100 - We can simplify this ratio as well by dividing both numbers by 33, which gives us 1:3. This ratio matches the original ratio of 1:3.
d) 21:63 - We can simplify this ratio by dividing both numbers by 21, which gives us 1:3. This ratio also matches the original ratio of 1:3.
Therefore, the correct answers are c) 33:100 and d) 21:63, as they represent rectangles with the same width to length ratio of 1:3.