Bob's chocolate bar
Bob just purchased a chocolate bar made out of 15 identical square pieces with an area of each. He has already eaten 2 pieces and his bar now looks like this:
Bob then proceeds to cut his chocolate bar into 3 pieces, not necessarily along the grid lines. He then rearranges these 3 pieces into one big square with an area of
What is the area of the biggest piece of the three, in
The answer is 28.
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1 solution
The only way to cut your chocolate bar into trhee pieces that will form a square is like this :
Since every square has an area of 4cm², we know that its side lenght is 2cm. The larger piece is formed of 2 triangles and a square.
The two triangles are identical and have a base of 6cm and a height of 4cm. The total area is the sum of the areas of the two triangles plus the area of the square.
A = 2 × 2 6 × 4 + 4 = 2 8