How to find the area of a quadrilateral with given vertices?
One of the most common questions asked on a quadrilateral exam is how to find the area of a quadrilateral with given vertices. If you ever want to practice this type of problem, here is a great website to use: The Math Forum. This website allows you to enter the vertices of the quadrilateral and will return the area of the quadrilateral within seconds. You can even enter the vertices from a picture!
How to find area of a quadrilateral with given vertices and sides?
All the vertices of any quadrilateral must lie on a single line. If the four vertices of a quadrilateral are the endpoints of the sides, then the area of the quadrilateral is the product of the lengths of the sides. If the vertices are not the endpoints of the sides, but the sides are the sides of a polygon (not necessarily convex), then the area of the polygon is the sum of the areas of the four triangles formed by
How to find the area of
There are at least three ways to find the area of a quadrilateral with given vertices. The first method is to use Heron’s formula or Pythagorean theorem. To use Heron’s formula, you need the sides of the quadrilateral, the length of each adjacent pair of sides, and the length of the diagonal from each vertex to the opposite vertex. Heron’s formula is A = sqrt((s1 + s2)(s1
How to find the area of a rectangle with given vertices?
The area of a rectangle is length multiplied by width. The length here refers to the length of the sides and the width refers to the length from one vertex to the next. The easiest way to find the area of a rectangle is to use the Pythagorean Theorem. The Pythagorean Theorem states that the length of the hypotenuse of a right triangle equals the sum of the length of the two legs. The legs are the sides of the rectangle here. This means that to find
How to find area of a trapezoid with given vertices?
The area of a trapezoid is equal to the sum of the areas of its two triangles. If you know the length of two sides, you can use Pythagorean Theorem to find the remaining sides. You can also use the Pythagorean Theodem to find the area of a trapezoid with the base as the hypotenuse.
