Puzzle-35. Find the Length DE. ABCD is rectangular. 5 areas are same sizes. AB=13 cm.

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February 26, 2024
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Not a question of mathcad but Mathcad can solve this.

Find the Length DE.

ABCD is rectangular. 5 areas are same sizes. AB=13 cm.

1_P9-Puzzle-35-5_same_areas.zip

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Best answer by terryhendicott

Hi

See Enclosed

W

Werner_E

25-Diamond I

Its not difficult to get DE=6, but Mathcad or Prime were of no help here (or rather: weren't needed).

T

terryhendicott

Answer

21-Topaz II

Hi

See Enclosed

1_240222-P9-Puzzle-35-5_same_areas.zip

W

Werner_E

25-Diamond I

To be on the safe side we would need a symbolical solution, but trying to evaluate the solve block symbolically fails.

Reason is that yD actually is irrelevant and yD could be set to any constant value and need not to be solved for.

So when we solve for four unknowns, we also only need four equations - one of the area equations is redundant anyway - if four of the five trinagles have an area of 1/5 of the total area, I would be surprised if the fifth triangle would have another area.
Now symbolical evaluation works OK