Question

The trapezoids are similar. The area of the smaller trapezoid is 131M. Find the area of the larger trapezoid to the nearest whole number.

Answer 1

Answer: THIRD OPTION

Explanation:

Calculate the scale factor of the areas, as following:

`sf=((12m)/(64m))^2\\\\sf=(9)/(256)`

Now, knowing that the area of the smaller trapezoid is 131 m², you can write the following proportion:

`(9)/(256)=(131)/(A)`

Solve for the area of the larger trapezoid (A). Therefore, you obtain the following result:

`A((9)/(256))==131\\A=(131)((256)/(9))\\\\A=3,726m^2`