Answer:
54 square meters
Step-by-step explanation:
Similar figures have corresponding lengths as equal ratios.
Smaller trapezoid's base is given 12 and larger trapezoids base is given 18, so the scale factor is [tex]12k=18\\k=\frac{18}{12}\\k=1.5[/tex]
this means the lengths of larger is 1.5 times lengths of smaller.
In terms of area, the scale factor is squared. Hence the scale factor for area is [tex]k^2=(1.5)^2=2.25[/tex]
this means the area of larger is 2.25 times the area of smaller.
Now, Let area of smaller trapezoid be x so we can say: [tex]x(2.25)=121\\x=\frac{121}{2.25}\\x=53.78[/tex]
to nearest square meter, x = 54 meters squared
