Q:

99 POINTS!! PLEAS HELP ASAP!!!!!A rectangle ABCD is reduced by a scale factor of 0.5. AB = 16 and AC = 6. (a) Calculate the length of each side of the reduced image.(b) Draw the new image and label it .

Accepted Solution

A:
Answer:Part a) [tex]A'B'=8\ units[/tex], [tex]A'C'=3\ units[/tex]Part b) The graph of the reduced image in the attached figureStep-by-step explanation:Letz-----> the scale factorx----> the length side of the reduced imagey----> the length side of the original imageso[tex]z=\frac{x}{y}[/tex][tex]x=z*(y)[/tex] ----> equation to find the length side of the reduce imagewe have[tex]z=0.5[/tex][tex]AB=16\ units[/tex][tex]AC=6\ units[/tex]Part a)  Calculate the length of each side of the reduced image[tex]A'B'=z*AB[/tex][tex]A'B'=0.5*16=8\ units[/tex][tex]A'C'=z*AC[/tex][tex]A'C'=0.5*6=3\ units[/tex]Part b) Draw the new image and label itI assume that AB is the length of the original rectangle and AC is the width of the original rectangleUsing a graphing toolsee the attached figure