If x = 4 units, y = 5 units, and h = 7 units, find the area of the trapezoid shown above using decomposition.
A. 45.5 square units
B. 28 square units
C. 98 square units
D. 63 square units

this would be 63 square untis

Step-by-step explanation:

if you were to cut one of the triangles and place it on the other side to make a rectangle you would then have a rectangle with sides of x+y and h. to find the area times them a= (x+y)x h =9 x 7 which is 63.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18