A floor is paved with triangular tiles each having sides 9 cm, 12 cm and 15 cm.
If 100 such tiles are used, find the total tiled area (in $cm^{2}$ ).

Question

A floor is paved with triangular tiles each having sides 9 cm, 12 cm and 15 cm. If 100 such tiles are used, find the total tiled area (in cm^2).

Accepted Answer

5400. One tile: s = 9+12+15/2 = 18. Area = √18 · 9 · 6 · 3 = √2916 = 54 cm^2. 100 tiles: 100 · 54 = 5400 cm^2.

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