Given:
Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.
There are 150 tiles in the mosaic.
To find:
The area of the mosaic.
Solution:
We know that, the area of a triangle is:
[tex]A=\dfrac{1}{2}\times Base\times height[/tex]
So, the area of Each right triangular tile is:
[tex]A=\dfrac{1}{2}\times 5.2\times 6[/tex]
[tex]A=\dfrac{1}{2}\times 31.2[/tex]
[tex]A=15.6[/tex]
There are 150 tiles in the mosaic. So, the area of the mosaic is:
[tex]Area=15.6\times 150[/tex]
[tex]Area=2340[/tex]
Therefore, the total area of the mosaic is 2340 cm ².
