The points A(4, 3) and B(4, –5) are plotted on the coordinate plane. Rectangle ABCD has a perimeter of 30 units. If points C and

Question

2 years ago

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D were plotted on the grid shown, what would their coordinates be if point C is below point D? Alt_text C: ( , ) D: ( , )

1 answer:

Vladimir79 [104] · Answer 1 · 2023-03-21T23:43:51+03:00

The possible coordinates of C and D are: C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)

<h3>How to determine the coordinates of C and D?</h3>

The given parameters are:

A = (4,3)

B = (4,-5)

Perimeter, P = 30 units

Since points A and B are on the same x-coordinate, then the distance between them is:

AB = 3 - - 5

AB = 8

The perimeter of the rectangle is calculated using:

P = 2 *(AB + CD)

This gives

2 * (8 + CD) = 30

Divide by 2

8 + CD = 15

Subtract 8 from both sides

CD = 7

This means that points C and D are 7 units from points A and B, respectively.

If A = (4,3) and B = (4,-5), then the possible coordinates of C and D are:

C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)