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vovikov84 [41]
3 years ago
5

A rectangle with vertices located at (1,2), (1,5), (3,5), and (3,2) is stretched horizontally by a factor of 3 with respect to t

he y-axis. What is the area of the image that is produced
Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answer:

  18 square units

Step-by-step explanation:

The given rectangle has an x-dimension of 3-1 = 2, and a y-dimension of 5-2 = 3. Stretching the x-dimension by a factor of 3 will multiply it to ...

  2×3 = 6

and give you a rectangle 6 units wide by 3 units high. Its area will be ...

  (6 units)(3 units) = 18 units²

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Using prime notation, the new coordinates after translation are;

<em>New coordinates;</em>

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A(-6, 5)

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  • Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
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  • Applying these translation numbers to our coordinates, we will now have;

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        B(-6 + 5, 2 - 4)

        C(-2 + 5, 2 - 4)

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Simplifying each of them gives us the new coordinates as;

A: (-1, 1)

B: (-1, -2)  

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D: (3, 2)

Read more at; brainly.com/question/4726090

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