Question

The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.2 cm and 6 cm. If there are 150 tiles in the mosaic, what is the area of the mosaic?

Answer 1

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:

`A=(1)/(2)* Base* height`

So, the area of Each right triangular tile is:

`A=(1)/(2)* 5.2* 6`

`A=(1)/(2)* 31.2`

`A=15.6`

There are 150 tiles in the mosaic. So, the area of the mosaic is:

`Area=15.6* 150`

`Area=2340`

Therefore, the total area of the mosaic is 2340 cm ².