MO Z6-I-2 2017

Erika 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 have agreed not to break the chocolate anymore and will draw lots to determine which piece will be the bigger. Arrange four pieces of chocolate from smallest to largest.

Correct 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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