Peter drew a rectangle with coordinates (-1, 3), ( 1, 3), (1, -3) and (-1. -3). Then he dilated the rectangle by a scale factor of 4. What is the area of the dilated rectangle, in square units?

1 Answer
Dec 8, 2017

The area of the dilated rectangle is #192 # sq.unit.

Explanation:

#A(-1,3), B(1,3),C(1,-3) and D(-1,-3),#

are coordinates of rectangle

Length of #AB# is # |1+1|=2# ,length of #BC# is # |-3-3|=6#

Length of #CD# is # |-1-1|=2#,length of #DA# is # |3+3|=6#

Length and width of rectangle is #6 and 2 # units respectively.

Therefore, the area of the rectangle is #6 *2=12 # sq.unit.

Length and width of dilated rectangle is #6*4=24 and 2*4=8 #

units respectively.

So, the area of the dilated rectangle is #24 *8=192 # sq.unit [Ans]