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Enlarge shape by scale factor 3

Enlarge shape by scale factor 3-example-1
User Bgw
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1 Answer

22 votes
22 votes

Step-by-step explanation:

When you change the size of a shape by a scale factor ("enlarge" means increasing the shape by a scale factor > 1), you increase all dimensions of that shape by a factor.

For example, if a rectangle's length is 2 units [two boxes in this case]. you make that size 6 units [2 · 3 = 6]; and if its width is 1 unit, you make that 3 units [1 · 3 = 3]

[scaling up our dimensions:]

So, we apply the same logic here. Any side length is now three times longer, so when the original length [along the bottom] was two boxes, that should now cover 6 boxes.

The height of 1 box [left side] will now be expanded to 3 boxes.

The other height of 2 boxes will now be 6 boxes [2 · 3 = 6]

The slanted portion should be easy to connect between your new side lengths and width

[but you could always use Pythagorean theorem to figure out the length; it would be 1² + 2² = c², or 5 = c², so the literal length of this side would be √5 ; you probably aren't expected to do this / you don't have to]

You didn't show the new graph to graph it on, but this is how you would graph it.

hope this helps!! have a lovely day :)

User Roy Ing
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