Question

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The length of a rectangle is shown.

If the area of the rectangle to be drawn is 10 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle?

C(−1, 1), D(1, 1)
C(−1, −2), D(1, −2)
C(−1, 5), D(1, 5)
C(−1, −7), D(1, −7)

Answer 1

B. C(-1, -2), D(1, -2)

Explanation:

So we know the area of the shape is 10 square units, A and B are 2 units apart, what we need to do is multiply that by 5, so we would have to go 5 units down, which would get you down to (-1, -2), and (1, -2). So that's your Answer.

Answer 2

Second option

Explanation:

It is given that, if the area of the rectangle to be drawn is 10 square units

To find the length of the rectangle

From the figure, we get the length of AB = 2 units

Therefore Area = length * breadth = 10

Therefore length = 10/2 = 5 units

To find the points of C and D

we have B(-1, 3)

Point C is 5 units below the point B

Therefore C(-1, 3-5) = C(-1,-2)

we have A(1, 3)

The point D is 5 units below the point B

Therefore D(1, 3-5) = A(1,-2)

Therefore the correct answer is option 2.