Question 1: The vertical end of a trough, which is in the form of a trapezoid, has the following dimensions: width at the top is 1.65m, width at the bottom is 1.15m, and depth is 1.35m. Find the area of this section of the trough.

Question 2: A piece of wire is shaped to enclose an equilateral triangle whose area is 16 square root of 3 square centimeters. It is then reshaped to enclose a rectangle whose length is 9 cm. Find the area of the rectangle.

Question 3: A square section ABCD has one of its sides equal to x. Point E is inside the square forming an equilateral triangle BEC having one side equal in length to the side of the square. Find angle AED.

Question 4: A rectangle ABCD, which measures 9ft by 12ft, is folded once perpendicular to diagonal AC so that the opposite vertices A and C coincide. Find the length of the fold.

Question 5: A quadrilateral contains two equal sides measuring 12 cm each with an included right angle. If the measure of the third side is 8cm and the angle opposite the right angle is 120 degree, find the fourth side and the area of the quadrilateral.