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)
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.
Hello, how did you come up with the way you set up the problem? How did you get those numbers?
Thank you