# Using Polya strategy and the sub-goal or others

• Aug 12th 2011, 06:50 PM
amirkushrou
Using Polya strategy and the sub-goal or others
Sarah has a blanket with a patch size of 9x12. She has cut eight of the affected patch with black ink. Sarah plans to cut the blanket into two pieces and sew back to form a blanket size 10x10 patches. How to solve this problem? Please, help me. How to cut into two pieces only?.

Attachment 22040
• Aug 15th 2011, 10:39 AM
Opalg
Re: Using Polya strategy and the sub-goal or others
Quote:

Originally Posted by amirkushrou
Sarah has a blanket with a patch size of 9x12. She has cut eight of the affected patch with black ink. Sarah plans to cut the blanket into two pieces and sew back to form a blanket size 10x10 patches. How to solve this problem? Please, help me. How to cut into two pieces only?.

Attachment 22040

The length of the blanket has to be reduced by two patches, from 12 to 10, and the width has to be increased by one patch, from 9 to 10. That suggests cutting along a zigzag line, going along one patch and then down two patches. If you do that on each side of the central missing strip, as in this picture, then you can reassemble it into a 10x10 square by shifting the top part one patch to the right and lowering it by two patches, so that it fits snugly onto the lower part.
• Aug 15th 2011, 05:45 PM
amirkushrou
Re: Using Polya strategy and the sub-goal or others
thanks my friend