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Consider the enlargement of the rectangle.

A small rectangle with length of 4 and width of 2. A larger rectangle with length of 12 and width of 6.

Which proportional statements are true of the enlargement? Check all that apply.

Respuesta :

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The two given rectangles are proportional to each other since they have a width to length ratio of 2 and the area ratio between them is equal to 9.

How to determine the ratios related to two proportional rectangles

Two rectangles are proportional to each other when both have the same length to width ratio. The area ratio is defined by the following formula:

r' = (l' · h')/(l · h)      (1)

Where:

  • l' - Length of the enlarged rectangle.
  • l - Length of the original rectangle.
  • h' - Length of the enlarge rectangle.
  • h - Length of the original rectangle.

Now we determine the length to width ratio of each rectangle:

Original rectangle

s = 4/2

s = 2

Enlarge rectangle

s' = 12/6

s' = 2

The two rectangles have the same length to width ratio.

And the area ratio is:

r' = (12 · 6)/(4 · 2)

r' = 72/8

r' = 9

Remark

The statement is incomplete and complete statement cannot be found. We modify the statement towards the determination of the length to width ratio of a rectangle and the areas ratio.

To learn more on proportionality: https://brainly.com/question/8598338

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