Question

Plot and label the 3 given points and determine the fourth point that would create a rectangle. Then find the area of the rectangle.

A(2, -5)
B(2, 3)
C(-4, 3)
D( , )​

Answer 1

The answer to your question is: D (-4, -5); Area = 48 u²

Explanation:

Data

A (2, -5)

B (2, 3)

C (-4, 3)

D ( , )

Process

Distance

AB = CD = 8 u

AD = BC = 6 u

Area

Area = base x height

= 8 x 6

= 48 u²

Answer 2

Explanation:

The trick is to keep the horizontal lines separate from the vertical ones, You can start anywhere at any point and work your around the rectangle.

I will start with A (2,-5). B (2,3. The distance between -5 and the x axis is 5 fine units. But B tells you have another 3 to go.The x values are the same. They add nothing to the distance 2 -2 =0

This is a rectangle. The distance from -5 to -5 adds nothing to the lines length

-4 and 2 makes a total of 6

So the length is 8 (-5 and 3)

And the area = 6 * 8 = 48