Janey paints a block of wood with gold glitter for an art project. The block measures 8 inches by 10 inches by 20 inches. After
she’s done, she decides to make two blocks by cutting through the block on the red line. She still wants each block to be covered with gold glitter.
3. What is the total area Janey still needs to paint? Explain how you found your answer.
3. What is the total area Janey still needs to paint? Explain how you found your answer.
1 answer:
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How about this (see attached image):
Use the four cuts as shown in the image (red lines).
Then assemble 5 equal squares by the numbers: 1 center square and the rest are pieced together using two pieces as shown. All five together add up to the same area as original square because we use all pieces.
The way one gets a hint toward a solution is to see how an area of a square of length 1 can be split into 5 equal square areas:
which indicates we need to find a a triangle with sides 2 and 1 to get the hypotenuse of the right length. That gave rise to the cut pattern (if you look carefully, there are triangles with those side lengths).
