Math Problem Solver

Consider the following figure.

A hexagon has six labeled vertices and a dashed line segment which divides the hexagon into a trapezoid and rectangle.

The first side is horizontal, starts at vertex R, goes to the right, and ends at vertex S.

The second side is vertical, starts at vertex S, goes up, and ends at vertex T.

The third side starts at vertex T, goes up and to the right, and ends at vertex V.

The fourth side is horizontal, starts at vertex V, goes to the left, and ends at vertex W.

The fifth side starts at vertex W, goes down and to the right, and ends at vertex X.

The sixth side is vertical, starts at vertex X, goes down, and ends at vertex R.

∠R and ∠S are right angles.

A dashed line segment connects vertex X to vertex T. The trapezoid is created above the segment and the rectangle below the segment.

Given:

hexagon RSTVWX with WV ∥ XT ∥ RS

RS = 20

ST = 6

TV = 5

WV = 26

WX ≅ VT

Find:

ARSTVWX in square units