Answer: THIRD OPTION
Step-by-step explanation:
Calculate the scale factor of the areas, as following:
[tex]sf=(\frac{12m}{64m})^2\\\\sf=\frac{9}{256}[/tex]
Now, knowing that the area of the smaller trapezoid is 131 m², you can write the following proportion:
[tex]\frac{9}{256}=\frac{131}{A}[/tex]
Solve for the area of the larger trapezoid (A). Therefore, you obtain the following result:
[tex]A(\frac{9}{256})==131\\A=(131)(\frac{256}{9})\\\\A=3,726m^2[/tex]
