How to find the area of a quadrilateral with coordinates

how to find the area of a quadrilateral with coordinates

Finding area of quadrilateral from coordinates

Solve questions to find the area of a quadrilateral when its coordinates are given. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains * and * are unblocked. Take the vertices A(x1,y1), B(x2,y2), C(x3,y3) and D(x4,y4) in counter-clockwise direction and write them column-wise as that of the area of a triangle. Therefore, area of the quadrilateral ABCD. = 1/2 { (x 1y2 + x 2y3 + x 3y4 + x 4y1) ? (x 2y1 + x3y2 + x4y3 + x1y4)}

Find Area of Quadrilateral with Vertices :. In this section, we will learn, witn to how to find area of a quadrilateral with vertices. To find the area of the quadrilateral with the given four vertices, we may use the formula given below. Solution witn. By if the points in counter clock wise direction, we find the area of BADC. Hoow 2 :. Find the value of k, if the area of a quadrilateral is 28 sq. Question 3 :.

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Area of a triangle

Answer to: How to find the area of a quadrilateral with coordinates given? By signing up, you&#;ll get thousands of step-by-step solutions to your. Area of Quadrilateral ABCD. Area(ABCD) =Area (?ABC)+Area (?ADC) =8 +11 = 19 sq. units A r e a (A B C D) = A r e a (? A B C) + A r e a (? A D C) = 8 + 11 = 19 s q. u n i t s. Example 1: A farmer has a pentagonal field ABCDE, which he divides into three triangular plots, as shown below. Area of quadrilateral PQRS is equal to the sum of the area of triangle PSR and the area of triangle PQR. Area of triangle PSR = (base * height)/2 = (PR * h 1)/2 Area of triangle PQR = (base * height)/2 = (PR* h 2)/2.

Last Updated: December 17, References. To create this article, 79 people, some anonymous, worked to edit and improve it over time. This article has been viewed 1,, times. Learn more So you've been assigned homework that requires you to find the area of a quadrilateral Don't worryЧhelp is here!

A quadrilateral is any shape with four sides Ч squares, rectangles, and diamonds are just a few examples. To find a quadrilateral's area, all you have to do is to identify the type of quadrilateral you're working with and follow a simple formula. That's it! Before you can find the area of a regular quadrilateral, start by identifying the type of quadrilateral in the problem, since different types of quadrilaterals require different equations.

For rectangles or rhombuses, simply multiply the base by the height to find the area. For squares, multiply one side by itself to get the area. If you have a parallelogram, multiply the diagonals and divide by 2 to get the area. To find the area of a trapezoid, add the base and the height together, and divide that number by 2 times the height. If you want to find the area of an irregular quadrilateral, keep reading the article! Did this summary help you?

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By using our site, you agree to our cookie policy. Cookie Settings. Learn why people trust wikiHow. Download Article Explore this Article methods. Area of Trapezoid and Kite Cheat Sheets.

Tips and Warnings. Related Articles. Article Summary. Support wikiHow and unlock all samples. Area of a Rectangle Diagram. Area of a Rhombus Diagram. Area of a Kite Diagram. Method 1 of All rights reserved. This image may not be used by other entities without the express written consent of wikiHow, Inc. Know how to identify a parallelogram. A parallelogram is any four-sided shape with two pairs of parallel sides where the sides across from each other are the same length.

Parallelograms include: Squares: Four sides, all the same length. Four corners, all 90 degrees right angles. Rectangles: Four sides; opposite sides have same lengths. Four corners, all 90 degrees. Rhombuses: Four sides, all having the same length. Four corners; none have to be 90 degrees but opposite corners must have the same angles. Multiply base times height to get the area of a rectangle. To find the area of a rectangle, you need two measurements: the width, or base the longer side of the rectangle , and the length, or height the shorter side of the rectangle.

Then, just multiply them together to get the area. Don't forget that when you're finding a shape's area, you will use square units square inches, square feet, square meters, etc.

Multiply one side by itself to find the area of a square. Squares are basically special rectangles, so you can use the same formula to find their area. However, since a square's sides all have the same length, you can use the shortcut of just multiplying one side's length by itself. This is the same as multiplying the square's base by its height because the base and height are simply always the same. Multiply the diagonals and divide by two to find the area of a rhombus.

Be careful with this one Ч when you're finding the area of a rhombus, you can't simply multiply two adjacent sides. Instead, find the diagonals the lines connecting each set of opposite corners , multiply them, and divide by two. Technically, you can also use the base times height formula to find the area of a rhombus. Here, "base" and "height" don't mean you can just multiply two adjacent sides, however.

First, pick one side to be the base. Then, draw a line from the base to the opposite side. The line should meet both sides at 90 degrees.

The length of this side is what you should use for height. Example: A rhombus has sides of 10 miles and 5 miles. The straight-line distance between the 10 mile Be aware that the rhombus and rectangle formulas work for squares. However, because squares are technically both rectangles and rhombuses as well as squares, you can use those shapes' area formulas for squares and get the correct answer. Example: A square's diagonals are both equal to 10 centimeters. Method 2 of Know how to identify a trapezoid.

A trapezoid is a quadrilateral with at least two sides that run parallel to each other. Its corners can have any angles. Each of the four sides on a trapezoid can be a different length.

There are two different ways you can find the area of a trapezoid, depending on which pieces of information you have. Below, you'll see how to use both.

Find the height of the trapezoid. The height of a trapezoid is the perpendicular line connecting the two parallel sides. This will not usually be the same length as one of the sides, because the sides are usually pointed diagonally. You will need this for both area equations. Here's how to find the height of a trapezoid: [3] X Research source Find the shorter of the two base lines the parallel sides.

Place your pencil at the corner between that baseline and one of the non-parallel sides. Draw a straight line that meets the two base lines at right angles. Measure this line to find the height. You can also sometimes use trigonometry to determine the height if the height line, the base, and the other side make a right triangle. See our trig article for more information. Find the area of the trapezoid using the height and the length of the bases.

Multiply the midsegment by two to find the area of a trapezoid. The midsegment is an imaginary line that runs parallel to the bottom and top lines of the trapezoid and is exactly the same distance from each. Method 3 of Know how to identify a kite. A kite is a four-sided shape with two pairs of equal-length sides that are adjacent to each other, not opposite each other. Like their name suggests, kites resemble real-life kites. There are two different ways to find the area of a kite depending on which pieces of information you have.

Below you will find how to use both. Use the rhombus diagonal formula to find the area of a kite. Since a rhombus is just a special kind of kite where the sides are the same length, you can use the diagonal rhombus area formula to find a kite's area as well.

As a reminder, diagonals are the straight lines between two opposite corners on the kite. If you don't know the lengths of the diagonals and can't measure them, you can use trigonometry to calculate them. See our article on finding the area of a kite for more information. Use the lengths of the sides and the angle between them to find the area.

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