1. A rhombus has diagonals of 32 and 20 inches. Find the area and the angle opposite the longer diagonal.
2. If the diagonal length of a square is tripled, how much is the increase in the perimeter of that square?
3. The area of the rhombus is 156 m^2. If it's shorter diagonal is 13 meters, find the length of the longer diagonal.
4. The altitude BE of a parallelogram ABCD divides the side AD into segments in the ratio 1 is to 3. Find the area of the parallelogram if the length of its shorter side is 14 cm, and one of its interior angle measures 60 degrees.
5. The vertical end of a trough, which is in the form of a trapezoid, has the following dimensions: width at the top is 1.65 meters, width at the bottom is 1.15 meters, and depth is 1.35 meters. Find the area of this section of the trough.
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