If x = 8 units, y = 3 units, and h = 10 units, find the area of the trapezoid shown above using decomposition.
a.
110 square units
b.
80 square units
c.
95 square units
d.
140 square units

If by decomposition you mean breaking it ino parts then

break it itno 2 triangles and 1 rectangle

left to right

triangle with base y and height h
h=10
y=3
area of traignel=1/2bh
aera=1/2(10)(3)
area=5(3)
area=15

rectangel of legnth x and height h
area=legnth timwe width
x=8
h=10
area=8 times 10
aera=80

last triangle
should be same as other sinces same base (y) and same height (h)
15

add
15+80+15=120