a photocopier increase the sides of a square in a ratio of 5:4. what percentage has the size increased?
5-4 divided by 4
1/4 = .25 or 25%
Now, check your answer.
1/4 of 4 = 1 added to 4 gets the 5.
Or 5/4 = 1.25 = 125%.
125% - 100% = 25%.
To find the percentage increase in size, we can use the formula:
Percentage Increase = ((New Size - Original Size) / Original Size) * 100
In this case, the ratio given is 5:4, which means that the sides of the square have increased by a factor of 5/4.
Let's assume the original size of the square is "x". After being copied, the new size of the square would be (5/4) * x.
Now, we can substitute these values into the formula to calculate the percentage increase:
Percentage Increase = ((5/4)x - x)/ x * 100
Simplifying this expression:
Percentage Increase = (1/4)x / x * 100
The "x" in the numerator and denominator cancels out, leaving:
Percentage Increase = 1/4 * 100
Calculating this, we get:
Percentage Increase = 25%
Therefore, the size of the square has increased by 25%.
To find the percentage increase in size, we need to first calculate the difference between the new size and the original size, and then express that difference as a percentage of the original size.
Let's assume the original size is 'x'.
According to the question, the photocopier increases the sides of the square in a ratio of 5:4. This means that the new size is 5/4 times the original size.
New Size = (5/4) * x
The increase in size is the difference between the new and original sizes:
Increase in size = New Size - Original Size
= (5/4) * x - x
= (5x/4) - (4x/4)
= (x/4)
To express this increase as a percentage of the original size, we need to consider the ratio: increase/original size.
Percentage Increase = (Increase / Original Size) * 100
= (x/4) / x * 100
= (1/4) * 100
= 25%
Therefore, the size of the square has increased by 25%.