Find the lengths of the sides of rectangle ABCD shown on the coordinate plane. Suppose you double the length of each side. What would be the new coordinates of point C if the coordinates of point A stay the same? Use pencil and paper to explain your reasoning.

(6, 8)

Step-by-step explanation:

The rectangle ABCD has vertices at A(0,0), B(0,4), C(3,4) and D(3,0). The length of the sides is calculated using the distance formula:

Therefore:

If the length of each side is doubled and point A stays the same. Let us assume that the new point of C is C'(x, y). Therefore C would be the midpoint of segment |AC'|:

Therefore C'=(6,8)

The new coordinate of point C would be (6, 8)

d.192

step-by-step explanation:

12*16=192

560

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