Question

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?

A. C(3, −2), D(−2, −2)
B. C(3, −3), D(−2, −3)
C. C(−3, 3), D(−3, −2)
D.C(−2, 3), D(−2, −2)

Answer 1

Since A and B are 5 units apart, and the formula to find the area of a rectangle is b x h, the other points must be 6 units down.

These points would be (-2, -3), and (3, -3).

B) is the correct answer.

Answer 2

B) C(3,-3) and D(-2,-3)

Explanation:

We are given that the area of rectangle is 30 square units.

Now, looking at the given figure. the coordinates of A are (-2,3) and coordinates of B is (3,3).

Therefore, length of AB is 5 Units.

Now, we are given that area of the rectangle is 30 square units.

Area of rectangle =
`\text{Length} *\text{Breadth}`

If we consider AB as the breadth of the rectangle therefore, we get, length of the rectangle as 6 units, using the above formula.

Now, given C and D are exactly below B and A.

Thus, the y coordinate of C and D should be 6 units below the coordinates of B and A respectively and their x-coordinates remain the same.

Thus, C have coordinates (3,-3) and D have coordinates (-2,-3)