Mike has 2 mats that are in the shape of triangles. The scale factor of the two triangular mats is 7 / 9. What is the ratio of the perimeters? Using the same mat what is the ratio of the area of the mats?

Question

Mathematics

Snow

13 February, 00:03

Mike has 2 mats that are in the shape of triangles. The scale factor of the two triangular mats is 7 / 9. What is the ratio of the perimeters? Using the same mat what is the ratio of the area of the mats?

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Glenn Leblanc · Answer 1

Answer: the ratio of the perimeters = 7/9

the ratio of the areas = 47/81

Step-by-step explanation:

The scale factor of the two triangular mats is 7 / 9. Expressing it in terms of decimal fraction, it becomes 0.778

Perimeter is the total distance around the triangle. It is determined by simply adding the length of each sides. Therefore it is a linear measurement. Therefore, the ratio of the perimeter of both triangles will remain 7/9 or 0.778

The area of the triangle is not a linear measurement. Determining the area of the triangle involves multiplication of the different lengths by applying the desired formula. The ratio of the areas of both triangles will be (7/9) ^2 = 47/81