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The width of a rectangle is shown below:

A coordinate plane with a point A at negative 3, 3 and C at negative 3, negative 4.

If the area of the rectangle to be drawn is 35 square units, where should points B and D be located if they lie to the right of points A and C?

B(2, 4) and D(2, −3)
B(2, 3) and D(2, −4)
B(3, 3) and D(3, −4)
B(3, −4) and D(3, 3)

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ANSWER


B(2, 3) and D(2, −4)

EXPLANATION


The rectangle has its width from A(-3,3) to C(-3,-4).


The with can be calculated using the absolute value method because AC is a vertical line.


[tex] |AC| = |3 - - 4| = |7| = 7 \: units[/tex]

The area of the rectangle is 35 square units.


This implies that,

[tex]l \times 7 = 35[/tex]


[tex]l = \frac{35}{7} [/tex]
[tex]l = 5 \: units[/tex]

To obtain the coordinates of B and D, we add 5 units to the x-coordinates of A and C respectively because these points are to the right of A and C.


The coordinates of
[tex]B(-3+5,-3) = B(2,-3)[/tex]

The coordinates of

[tex]D(-3+5,-4) = D(2,-4)[/tex]

The correct answer is the second option.
alonanoble

Answer:

B(2, 3) and D(2, −4) I am finished with the test right know.

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