To solve this, you must make use of distance formula, which is defined below:
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If we can determine the length and width, we can solve the perimeter. So let's begin! Let's take our first two points, (-1, 4) and (5, 2) and plug the values in.
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That's a bit of a mess, so let's simplify. By evaluating(which will take too long to work out on here), we get the square root of 40.
Now for the next set of points: (5, 2) and (4, -1). When we plug them in and evaluate the distance formula, we get the square root of ten.
Now that we have two values, we can simply multiply each by two and add them, because they represent side lengths.
If you plug this entire thing into a calculator, it gives you something like 18.97, which can be rounded up to
19.0 as our answer. So your choice was correct.Hope this is helpful! :)