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If a rectangular photograph that is 10 inches wide by 15 inches long is to be enlarged so that the width will be 22 inches and the ratio of width to length will be unchanged, then the length, in inches, of the enlarged photograph will be
- a)33
- b)32
- c)30
- d)27
- e)25
Correct answer is option 'A'. Can you explain this answer?
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If a rectangular photograph that is 10 inches wide by 15 inches long i...
As the ratio of width to length is same propertion
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If a rectangular photograph that is 10 inches wide by 15 inches long i...
To solve this problem, we can use the concept of proportions.
Let's start by finding the ratio of width to length for the original photograph. The width is 10 inches and the length is 15 inches, so the ratio is 10:15, which can be simplified to 2:3.
We are told that the width of the enlarged photograph is 22 inches. We need to find the length of the enlarged photograph. Since the ratio of width to length remains unchanged, we can set up the following proportion:
2/3 = 22/x
To solve for x, we can cross-multiply:
2x = 3 * 22
2x = 66
Now, we can solve for x by dividing both sides of the equation by 2:
x = 66/2
x = 33
Therefore, the length of the enlarged photograph is 33 inches.
Answer: a) 33
Let's start by finding the ratio of width to length for the original photograph. The width is 10 inches and the length is 15 inches, so the ratio is 10:15, which can be simplified to 2:3.
We are told that the width of the enlarged photograph is 22 inches. We need to find the length of the enlarged photograph. Since the ratio of width to length remains unchanged, we can set up the following proportion:
2/3 = 22/x
To solve for x, we can cross-multiply:
2x = 3 * 22
2x = 66
Now, we can solve for x by dividing both sides of the equation by 2:
x = 66/2
x = 33
Therefore, the length of the enlarged photograph is 33 inches.
Answer: a) 33
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If a rectangular photograph that is 10 inches wide by 15 inches long is to be enlarged so that the width will be 22 inches and the ratio of width to length will be unchanged, then the length, in inches, of the enlarged photograph will bea)33b)32c)30d)27e)25Correct answer is option 'A'. Can you explain this answer?
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