Question

Note: Figure is not drawn to scale.

if x = 8 units, y = 2 units, and h= 10 units, find the area of the trapezoid shown above using decompositio
A. 80 square units
B.
120 square units
OC. 100 square units
D.
90 square units


Please help, and thank you c:​

Answer 1

Known :

x = 8 units

y = 2 units

h = 10 units

Asked :

A = ...?

Answer :

`A = (a + b)/(2) * h \\ A = (x + (x + 2y))/(2) * h \\ A = (8 + (8 + 2(2)))/(2) * 10 \\ A = (8 + (8 + 4))/(2) * 10 \\ A = (8 + 12)/(2) * 10 \\ A = (20)/(2) * 10 \\ A = 100 \: {units}^(2)`

So, the area of the trapezoid is 100 units² (C)

Hope it helpful and useful :)