Question

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?

C(3, −2), D(−2, −2)
C(3, −3), D(−2, −3)
C(−3, 3), D(−3, −2)
C(−2, 3), D(−2, −2)

Answer 1

C(3, −3), D(−2, −3)

Explanation:

The distance from point A to point B is 5 units.

The width of the rectangle is 5 units.

The length must be 6 units to have an area of 30 square units.

Points C and D must be 6 units below points A and B.

Their coordinates must be (-2, -3) and (3, -3).

Answer: C(3, −3), D(−2, −3)