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The length of a rectangle is shown below

On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair negative 2, 3, and the point B is on ordered pair 3, 3.


If the area of the rectangle to be drawn is 30 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle?

The length of a rectangle is shown below On a coordinate grid from negative 6 to positive 6 on the xaxis and on the yaxis two points A and B are shown The point class=

Respuesta :

Since the distance between A and B is 5 divide 30 by 5 to get 6 so C and D are 6 down from A and B at (-2,-3) and (3,-3)
facundo3141592

The coordinates of the points C and D must be:

  • C = (-2, -3)
  • D = (3, -3)

Where should be points C and D located?

We know that C and D are directly below A and B respectively. So the x-values must coincide.

Then we can say that:

  • C = (-2, y)
  • D = (3, y)

Now, remember that for a rectangle of length L and width W the area is:

A = W*L

In this case, the length is AB, then:

L = 3 - (-2) = 5

And the area is 30 square units, so:

30 = W*5

30/5 = W = 6

This means that:

AC = BD = 6

So the difference between the y-component of A and the y-component of C is 6 units

3 - y = 6

3 - 6 = y = -3

So the coordinates of the points are:

  • C = (-2, -3)
  • D = (3, -3)

If you want to learn more about rectangles, you can read:

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