A parallelogram is a four-sided shape with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and the opposite angles are equal in measure.
The lengths of X and Y can be found by using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In a parallelogram, X and Y are the two sides that form the right angle, so we can use the formula c² = a² + b² to find their lengths.
The measure of angle Z in a parallelogram can be found by using the fact that opposite angles in a parallelogram are equal. So, if we know the measure of one angle, we can simply use the fact that the opposite angle is also equal to find the measure of angle Z.
The formula for the area of a parallelogram is A = base x height, where the base is the length of one of the parallel sides and the height is the distance between the parallel sides.
In order to solve for X and Y, we can use the fact that opposite sides in a parallelogram are equal in length. So, if we know the lengths of the other two sides, we can simply set up an equation where X and Y are equal to those lengths and solve for the missing values.
