Question

The length of a rectangle is shown below:

Answer 1

Answer:

The correct answer is,

Option 2).  C(-1, -2), D(1,-2)

Step-by-step explanation:

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

To find the length of rectangle

From the figure we get 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)

The 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

Answer 2

Answer: Second option.

Step-by-step explanation:

As you can see in the graph attached, the lenght of the side AB is 2 units.

The formula for calculate the area of  rectangle is:

$A=l*w$

Where l is the length and w is the width.

Therefore, if the area of the rectangle to be drawn is 10 square units and you know AB=2 units and CD  lies vertically below BA , then you can solve for the length:

$(10units^2)=(2units)l\\l=5units$

Therefore C and D are located at:

$C=B(-1, 3-5)=> C(-1,-2)$

$D=A(1, 3-5)=> D(1,-2)$