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If the ratio of areas of two squares is 225: 256, then the ratio of their perimeters is?
- a)225 : 256
- b)256 : 225
- c)15 : 16
- d)16 : 15
Correct answer is option 'C'. Can you explain this answer?
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If the ratio of areas of two squares is 225: 256, then the ratio of t...
Ratio of their perimeters-
15 : 16
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If the ratio of areas of two squares is 225: 256, then the ratio of t...
Given:
Ratio of areas of two squares = 225: 256
To find:
Ratio of their perimeters
Solution:
Let's assume the side lengths of the two squares be x and y respectively.
Ratio of their areas:
Area of the first square = x^2
Area of the second square = y^2
According to the given information,
x^2 : y^2 = 225 : 256
Taking the square root of both sides, we get:
x : y = 15 : 16
Now, let's calculate the perimeters of the two squares.
Perimeter of the first square = 4 * x
Perimeter of the second square = 4 * y
Ratio of their perimeters:
(4 * x) : (4 * y) = x : y
Substituting the value of x : y from above, we get:
(4 * 15) : (4 * 16) = 15 : 16
Hence, the ratio of their perimeters is 15 : 16. Therefore, option C is correct.
Ratio of areas of two squares = 225: 256
To find:
Ratio of their perimeters
Solution:
Let's assume the side lengths of the two squares be x and y respectively.
Ratio of their areas:
Area of the first square = x^2
Area of the second square = y^2
According to the given information,
x^2 : y^2 = 225 : 256
Taking the square root of both sides, we get:
x : y = 15 : 16
Now, let's calculate the perimeters of the two squares.
Perimeter of the first square = 4 * x
Perimeter of the second square = 4 * y
Ratio of their perimeters:
(4 * x) : (4 * y) = x : y
Substituting the value of x : y from above, we get:
(4 * 15) : (4 * 16) = 15 : 16
Hence, the ratio of their perimeters is 15 : 16. Therefore, option C is correct.
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If the ratio of areas of two squares is 225: 256, then the ratio of t...
Ratio of their perimeters-
15 : 16
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If the ratio of areas of two squares is 225: 256, then the ratio of their perimeters is?a)225 : 256b)256 : 225c)15 : 16d)16 : 15Correct answer is option 'C'. Can you explain this answer?
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