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)

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.