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The length of a rectangle is 3 times its width. What will be the ratio of its area to its length, if the width of the rectangle is a?
- a)1 : a
- b)2 : a
- c)a : 1
- d)a2 : 1
Correct answer is option 'C'. Can you explain this answer?
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The length of a rectangle is 3 times its width. What will be the ratio...
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The length of a rectangle is 3 times its width. What will be the ratio...
Understanding the problem:
Given that the length of a rectangle is 3 times its width. Let the width of the rectangle be 'a'. Therefore, the length of the rectangle would be 3a.
Finding the area of the rectangle:
The area of a rectangle is given by the formula: Area = Length x Width. Substituting the values of length and width, the area of the rectangle would be: Area = 3a x a = 3a^2
Calculating the ratio of area to length:
The ratio of area to length can be calculated by dividing the area of the rectangle by its length. Therefore, the ratio of area to length is: 3a^2 / 3a = a
Therefore, the correct answer is option C which is a : 1. This ratio represents that the area of the rectangle is 'a' times its length.
Given that the length of a rectangle is 3 times its width. Let the width of the rectangle be 'a'. Therefore, the length of the rectangle would be 3a.
Finding the area of the rectangle:
The area of a rectangle is given by the formula: Area = Length x Width. Substituting the values of length and width, the area of the rectangle would be: Area = 3a x a = 3a^2
Calculating the ratio of area to length:
The ratio of area to length can be calculated by dividing the area of the rectangle by its length. Therefore, the ratio of area to length is: 3a^2 / 3a = a
Therefore, the correct answer is option C which is a : 1. This ratio represents that the area of the rectangle is 'a' times its length.
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The length of a rectangle is 3 times its width. What will be the ratio of its area to its length, if the width of the rectangle is a?a)1 : ab)2 : ac)a : 1d)a2 : 1Correct answer is option 'C'. Can you explain this answer?
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