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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:​

Note Figure is not drawn to scaleif x 8 units y 2 units and h 10 units find the area of the trapezoid shown above using decompositioA 80 square unitsB120 square class=

Respuesta :

Known :

x = 8 units

y = 2 units

h = 10 units

Asked :

A = ...?

Answer :

[tex]A = \frac{a + b}{2} \times h \\ A = \frac{x + (x + 2y)}{2} \times h \\ A = \frac{8 + (8 + 2(2))}{2} \times 10 \\ A = \frac{8 + (8 + 4)}{2} \times 10 \\ A = \frac{8 + 12}{2} \times 10 \\ A = \frac{20}{2} \times 10 \\ A = 100 \: {units}^{2} [/tex]

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

Hope it helpful and useful :)