The length of a 3d rectangle is 8cm greater than the width and the height is half the length. a total of 108 cm of wire has been used the make this framework. what are the dimensions of this box?

L=W+8

(W+8)W=105

W^2+8W=105

W^2+8W-105=0

(W+15)(W-7)=0

W-7=0

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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