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

Question

asked Jun 2, 2020 40.4k views

1 Answer

Pfunc · Answer 1 · 2020-06-08T07:19:36+0000

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:

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