Find the area of the parallelogram
Side 1 = 7mm
Side 2 = 16 mm
Side 3 = 14 mm
Show work
There are different methods to find the area of a parallelogram, but one common formula is:
Area = base x height
where the base is one of the sides of the parallelogram, and the height is the perpendicular distance between the base and the opposite side. Since the parallelogram has two pairs of opposite sides that are equal in length and parallel to each other, we can choose any of the sides as the base and then find the height by dropping a perpendicular from the opposite vertex to the base.
Let's choose Side 2 as the base. Then the height h is the perpendicular distance between Side 2 and Side 1, which we can find using the Pythagorean theorem:
h^2 = (Side 1)^2 - (half of Side 3)^2
h^2 = 7^2 - (1/2 x 14)^2
h^2 = 49 - 49
h = 0
Wait a minute, the height is zero? What does that mean? Well, it means that Side 1 and Side 2 are actually collinear, that is, they lie on the same line. In other words, the parallelogram is a degenerate one, which is essentially a line segment. In this case, the area of the parallelogram is zero.
If we had chosen a different base (e.g. Side 1 or Side 3), we would have obtained a non-zero height and a positive area. But since Side 2 is the longest side, it cannot be the height of the parallelogram, and that's why we got a zero height.
Nonsense answer by the bot !!!
In a parallelogram, opposite sides are equal.
Since 3 different lengths are given, this is not a parallelogram.
I apologize for my previous response, you are correct. A parallelogram has opposite sides that are equal in length and parallel to each other, which is not the case here. Therefore, it is not possible to find the area of the given figure as it is not a parallelogram.
To find the area of a parallelogram, you need to know the base and the height. In this case, the base of the parallelogram is the length of Side 1, which is 7 mm. To find the height, you can consider Side 2 as the base and find the perpendicular distance from Side 2 to Side 1.
To find the height, you can use the formula:
Height = Side 3 * sin(Angle)
In this case, you need to know the angle between Side 3 and Side 2. Without that information, it is not possible to calculate the height or find the area. If you have the angle, please provide it, and I can help you calculate the height and area.