SOLUTION: Hans has a sheet of tin 52 cm by 90 cm. He plans to make a box by cutting squares out of each of the 4 corners and folding up the remaining edges. How large a square should he cut

Algebra ->  Length-and-distance -> SOLUTION: Hans has a sheet of tin 52 cm by 90 cm. He plans to make a box by cutting squares out of each of the 4 corners and folding up the remaining edges. How large a square should he cut      Log On


   



Question 563859: Hans has a sheet of tin 52 cm by 90 cm. He plans to make a box by cutting squares out of each of the 4 corners and folding up the remaining edges. How large a square should he cut so that the finished box will have a length that is twice its width?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+90+-+2x+=+2%2A%28+52+-+2x+%29+
+90+-+2x+=+104+-+4x+
+4x+-+2x+=+104+-+90+
+2x+=+14+
+x+=+7+
The squares should be 7 cm x 7 cm
check:
+90+-+2x+=+2%2A%28+52+-+2x+%29+
+90+-+2%2A7+=+2%2A%28+52+-+2%2A7+%29+
+90+-+14+=+2%2A%28+52+-+14+%29+
+76+=+2%2A%28+38+%29+
OK