a mosaic is desined in the shape of an equilateral triangle 12 ft on each side. each tile in the mosaic is in the shape of an equilateral triangle of 12 inch side. The tiles are alternate in colour as white and blue. Find the number of tiles of each colour and total number of tiles in the mosaic.
Answers
Given : a mosaic is designed in the shape of an equilateral triangle 12 ft on each side. each tile in the mosaic is in the shape of an equilateral triangle of 12 inch side
To find : number of tiles required
Solution:
a mosaic is designed in the shape of an equilateral triangle 12 ft on each side
=> Area of triangle = (√3 / 4)12² = 144 (√3 / 4) ft²
each tile in the mosaic is in the shape of an equilateral triangle of 12 inch side.
12 inch = 1 ft
=> Area of each Tile = (√3 / 4)1² = √3 / 4 ft²
Number of tiles required = Total Mosaic Area / tile area
= 144 (√3 / 4) / ( √3 / 4 )
= 144
144 tiles required in the mosaic
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