Question: Consider the area shown in ( Figure 1 ) . A trapezoid is shown in the x y plane. The x axis points horizontally to

Consider the area shown in

(

Figure

1) .

A trapezoid is shown in the x y plane. The x axis points horizontally to the right. The y axis points vertically upward. The bottom base of the trapezoid lies on the x axis, extending distance

'

'

from the origin in the positive and negative x directions. The top base extends distance

'

'

divided by

2

from the positive y axis in the positive and negative x directions. The two inclined sides have length

'

' .

Determine the location y

of the centroid of the area.

Express your answer in terms of a

.

Express the coefficients using three significant figures.

Consider the area shown in ( Figure 1 ) . A

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