SOLUTION: A six by eight grid is constructed with 48 small squares in a rectangle with a line diagonal from the top left to bottom right. The corners are marked A (top left), B (bottom left)

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Question 1164781: A six by eight grid is constructed with 48 small squares in a rectangle with a line diagonal from the top left to bottom right. The corners are marked A (top left), B (bottom left), C (bottom right) and D (top right). If the diagonal of one of the small squares is 6 Cm, what is the length of diagonal AC?
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Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) About Me  (Show Source):
Answer by greenestamps(13200) About Me  (Show Source):
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The other tutor didn't read the given information correctly.

The 6cm is the length of the diagonal of each small square -- not the side length.

So the side length of each square is 6%2Fsqrt%282%29=3%2Asqrt%282%29 cm.

Then the diagonal AC is the hypotenuse of a right triangle with legs 18%2Asqrt%282%29 cm and 24%2Asqrt%282%29 cm.