Question

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 1

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

Answer 2

ANSWER


B(2, 3) and D(2, −4)

Step-by-step 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.



`|AC| = |3 - - 4| = |7| = 7 \: units`

The area of the rectangle is 35 square units.


This implies that,


`l * 7 = 35`



`l = (35)/(7)`

`l = 5 \: units`

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

`B(-3+5,-3) = B(2,-3)`

The coordinates of


`D(-3+5,-4) = D(2,-4)`

The correct answer is the second option.