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McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 87 Page 177

Determine the vertices of A'B'C'D' by transforming ABCD.

192 square units

Practice makes perfect

Let's begin by copying the given figure.

Next, we will transform the figure by (x,y) → (3x,4y).

(x,y)	(x,y) → (3x,4y).	(3x,4y)
( 0, 0)	(3( 0),4( 0))	( 0, 0)
( 4, 0)	(3( 4),4( 0))	( 12, 0)
( 4, 4)	(3( 4),4( 4))	( 12, 16)
( 0, 4)	(3( 0),4( 4))	( 0, 16)

Now that we know the vertices of the transformed ABCD, we can draw it.

The new figure is a rectangle 16 by 12. The area of a rectangle is the product of its length and width. In this case, the length is 16, and the width is 12. With this, we can find its area. Area: 16*12=192 Therefore, the area is 192 square units.