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A triangle with an area of 360 square meters was created from a triangle with an area of 2.5 square meters using a scale factor. What is the scale factor?

900:1
72:1
30:1
12:1

2 Answers

5 votes

Let x be the scale factor.

Then, the ratio of the areas of the two triangles is x².

We are given that the larger triangle has an area of 360 square meters and the smaller triangle has an area of 2.5 square meters. So we can set up the equation:

x²(2.5) = 360

Solving for x, we get:

x = sqrt(360/2.5)

x = sqrt(144)

x = 12

Therefore, the scale factor is 12:1. Answer: 12:1.

User Damick
by
9.3k points
2 votes

Answer:

Step-by-step explanation: Multiply all numbers and add all then divided by the lowest

User MikeKeepsOnShine
by
8.3k points

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