In the image, there are two trapezoids. The trapezoids are similar, but the area of the smaller one is 564 m2. The base of the smaller trapezoid is 24 m, and the base of the bigger trapezoid is 59 m. Find the area of the larger trapezoid rounded the nearest whole number.
To find the area of the larger trapezoid, we can set up a proportion between the area of the larger trapezoid and the area of the smaller trapezoid:
Let x be the area of the larger trapezoid.
(x/564) = (59^2 / 24^2)
(x/564) = (3481 / 576)
x = 3481 * 564 / 576
x = 3407464 / 576
x ≈ 5916
Therefore, the area of the larger trapezoid is approximately 5916 m² when rounded to the nearest whole number.