Young's Modulus, Stress/Strain graph and Calculating Energy

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trew
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Homework Statement
as below
Relevant Equations
as below
Stress-strain graph with stress in MPa on the vertical axis (0 to 140) against strain on the horizontal axis (0 to 0.007), showing a 28 days curve rising to about 130 MPa before fracture near strain 0.004, and a 2 days curve levelling off near 65 MPa.

ym2.JPG


For part (b), I counted the number of squares underneath the 2 day sample to be roughly 33 'whole' squares (the 5by5 tiny squares is 1 whole sqaure).

I then equated 33 whole square = 0.35 MJ to calculate 1 whole square to be 0.0106 MJ.

I then counted the number of whole squares underneath the 28 day sample to roughly be 30.5 so the total absorbed energy is (30.5)(0.0106)=0.323..MJ

And found the percentage reduction to be around 7.6%. But then answer scheme has it between 12% and 15%.

No matter how many times I count the squares I can't get close to their answer. What am I doing wrong?

I know I could estimate the area by using the area of trapezium and triangle rules but I want to get this simple method right first.
 
trew said:
counted the number of squares underneath the 2 day sample to be roughly 33 'whole' squares (the 5by5 tiny squares is 1 whole sqaure).
Seems a bit low. I get closer to 36.
 
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