Answer:
The area of the larger rectangle is 368 square centimeters
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ---> the scale factor
x ---> the area of smaller rectangle
y ---> the area of larger rectangle
so
[tex]z^2=\frac{x}{y}[/tex]
we have
[tex]z=\frac{3}{4}[/tex]
[tex]x=207\ cm^2[/tex]
substitute the values
[tex](\frac{3}{4})^2=\frac{207}{y}[/tex]
[tex]\frac{9}{16}=\frac{207}{y}[/tex]
[tex]y=207(16)/9\\y=368\ cm^2[/tex]
therefore
The area of the larger rectangle is 368 square centimeters
