Question

Evelyn wants to enlarge a 5” x 7” photograph. She plans to enlarge it to fit a frame that is 16” x 20”. Will Evelyn’s photo retain the same proportions? Explain your reasoning.

Answer 1

Evelyn’s photo will not retain the same proportions.

What is the Scale of enlargement?

When we talk of scale of enlargement, we are simply referring to a transformation where we dilate the object by a scale factor. What this means is that all dimensions of the new object must have the same scale with corresponding dimensions of initial object.

Now, when we enlarge a 5” x 7” photograph to fit into a frame of 16” x 20”, then both corresponding sides must have same ratio or scale of enlargement.

Let us check the scales of enlargement;

16"/5" = 3.2 as scale factor

20/7 = 2.857 as scale factor

Thus, we can conclude that Evelyn’s photo will not retain the same proportions.

Read more about Scale of Enlargement at; brainly.com/question/3457976

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