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 coordinates of A and B are:

• A( -2, 3) and B(3, 3)

The distance AB is:

• AB = 3 - (- 2) = 5 units

The rectangle wit the area of 30 units² should have the other dimension:

• AC = BD = 30/5 = 6 units

Since D and C are below of the A and B, their coordinates will be same on x-axis but different on y-axis:

• D = (-2, 3 - 6 = - 3) = (- 2, - 3)
• C = (3, 3 - 6 = - 3) = (3, - 3)

Correct choice is B