Trapezoidal Grooved Plate

Create a 3-D quadrilateral with a length (x-axis) of 82cm, a width (y-axis) of 6.8cm, and a height (z-axis) of 0.8cm. Name the angles and sides, beginning in the upper left corner of the quadrilateral and proceeding clockwise: Name the interior angles A, B, C, and D. Name the sides AB, BC, CD, and DA. Adjust side DA so that it measures 4.2cm. Side BC remains 6.8cm. Sides DA and BC remain opposite and parallel. Angles C and D each measure 90°. The measures of angles A and B are unknown (please calculate them), but their combined total measure is 180°. Add 5 grooves into the top surface of the quadrilateral. Name the grooves 1, 2, 3, 4, and 5. All grooves are .3cm deep and .4cm wide. There is .4cm spacing between each groove. The final .4cm at both ends of all grooves is tapered to a slightly rounded point. All grooves have a side-to-side alignment that is flush against side BC. All grooves extend (to varying lengths) leftward towards side DA. The centerlines of all grooves have an up-and-down alignment that is a relative distance from side DA. Centerline of groove 1 is 1.9cm from side DA. The length is 82cm. Centerline of groove 2 is 2.7cm from side DA. The length is 82cm. Centerline of groove 3 is 3.5cm from side DA. The length is 63cm. Centerline of groove 4 is 4.3cm from side DA. The length is 41.5cm. Centerline of groove 5 is 5.1cm from side DA. The length is 19.5cm.

Parameters

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