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 1, 2 and the point B is on ordered pair 2, 2.

If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle?

A. C(2, −2), D(−1, −2)
B. C(2, −1), D(−1, −1)
C. C(−2, 2), D(−2, −1)
D. C(−1, 2), D(−1, −1)

Answer 1

The answer is option A. C(2, −2), D(−1, −2)

Explanation:

The length of AB = 3 units

The area of the rectangle to be drawn is 12 square units

So, the width = The area/The length = 12/3 = 4 units

C and D be located vertically 4 units below A and B

So, C and D like the image of A and B with a transformation rule

(x,y) → (x , y-4)

The coordinates of A(-1,2) and B(2,2)

So, C and D are: (-1,-2) and (2,-2)

The answer is option A. C(2, −2), D(−1, −2)