MO Z6-I-2 2017

Erica wanted to offer chocolate to her three friends. When she took it out of her backpack, she found that it was broken, as shown in the picture. (The marked squares are identical.) The girls agreed not to break the chocolate any further and drew lots to determine who would get the larger piece. Arrange the four pieces of chocolate from smallest to largest.

Final Answer:

S₁ =  6
S₂ =  6
S₃ =  6
S₄ =  6

Step-by-step explanation:

$$\begin{gathered} S=\frac{a\cdot v}{2} \\ {S}_1=\frac{3\cdot 4}{2}=6 \end{gathered}$$

$S_2=\frac{3\cdot 4}{2}=6$

$S_3=\frac{7\cdot 2}{2}-\frac{2\cdot 1}{2}=6$

$S_4=6\cdot 4-(S_1+S_2+S_3)=6\cdot 4-(6+6+6)=6$

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