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Ugo [173]
3 years ago
10

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?
Mathematics
1 answer:
Drupady [299]3 years ago
5 0

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=\dfrac{1}{2}\times Base\times height

So, the area of Each right triangular tile is:

A=\dfrac{1}{2}\times 5.2\times 6

A=\dfrac{1}{2}\times 31.2

A=15.6

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

Area=15.6\times 150

Area=2340

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

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