The vertices of a rectangle are located at (-4, 5), (4, 5), (4, -5), and (-4, -5). What is the perimeter of the rectangle? A) 38 units B) 18 units C) 36 units D) 40 units
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um
how do i work it out?
You can just count the distance along a side... Along the top, it's just as if it were a number line. The y coordinate doesn't change at all, so you're counting from x = -4 over to x = 4. So that would be a distance of 8.
36 units?
You can count the length down a side in the same way... the x coordinate doesn't change, but y changes from 5 down to -5... a length of 10. Yes, so as you found just now, it's 8 across top and bottom, or 16.... plus 10 down each side for 20... Total perimeter = 36
You don't have to draw it if you realize that's how the points are arranged, but it's always fine to draw it if it helps you see it.
could you help with this one too? Three vertices of a rectangle are located at A(-2, 2), B(2, -2), C(-2, -2). What are the coordinates of the fourth vertex?
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2,2?
Yes, great :)
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