Assume that Cody was x cm tall on his first day at school last year.
Assume that Cody is y cm tall on his first day at school this year.
This year, Cody became 10% taller.
10% is equivalent to 0.1
This can be translated into the following:
y = x + 0.1x
We are given that y = 165 cm.
Substitute in the equation to get x as follows:
165 = x + 0.1x
165 = 1.1x
x = 150 cm
Based on the above calculations, Cody was 150 cm tall on his first day at school last year.
A^2 + b^2 = c^2
18^2 + 26^2 = c^2
324 + 676 = c^2
1000 = c^2
sqrt 1000 = c
31.62 = c
You need to find a scale factor of dilation (probably contraction) to make the replica.
Given that the units of the original painting are centimeters and the units of the sheet of paper are in inches, you have to convert one of the units.
I choose to covert inches to centimeters.
To do that, use the conversion factor 1 = 2.54 cm / inch
=> 8.5 in * [2.54 cm/in] = 21.59 cm
=> 11 in * [2.54 cm/in] = 27.94 cm
Now determine the scale factor to convert 77 cm to 27.94 cm and 53 cm to 21.59 cm. That just require use of division operation:
77 / 27.94 = 2.76
53 / 21.59 = 2.45
Then the higher scale factor is the relevant one, and you have to reduce the original painting by a factor of (1 / 2.76) which will lead to fit in the sheet of paper.
