The online calculator below calculates the area of a rectangle, given coordinates of its vertices. In fact, the calculation is quite generic, so it can also calculate the area of parallelogram, square, rhombus, trapezoid, kite, etc., that is, the area of any convex quadrilateral.
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- Rectangle: 1 n a parallelogram with four right angles Types: foursquare, square (geometry) a plane rectangle with four equal sides and four right angles; a four-sided regular polygon box a rectangular drawing quadrate a square-shaped object Type of: parallelogram a quadrilateral whose opposite sides are both parallel and equal in length.
- A rectangle is defined by its Width, Height, and upper-left corner represented by the Location property. To draw rectangles, you need a Graphics object and a Pen object. The Graphics object provides the DrawRectangle method, and the Pen object stores features of the line, such as color and width.
- To calculate the area of a rectangle, multiply the length by the width. A rectangle with a length of 10 feet and a width of 5 feet has an area of 50 square feet.
The word rectangle comes from the Latin rectangulus, which is a combination of rectus (as an adjective, right, proper) and angulus. A crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals (therefore only two sides are parallel).
Enter the set of points into the calculator below - one point per line, with x and y coordinates separated by a semicolon. The calculator builds a convex hull, using Jarvis march, then calculates four sides of the hull and one diagonal between the hull's first and third points. Then the calculation is trivial. Here, for example, a quadrilateral is split by diagonal into two triangles, and the area of each triangle then calculated using the Heron formula.
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For Inch versions, directly under the main tab is a smaller 'Inch' tab for the Feet and Inch version.
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MetricHelpFor Inch versions, directly under the main tab is a smaller 'Inch' tab for the Feet and Inch version.
Drop Down Menus have M for Metric Versions.
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How to Lay Out a Square or Rectangle with Correct Diagonal
| To setout a square or rectangle, make sure the diagonal is the correct length for the side lengths. Enter 2 sides and hit Calculate to re-draw with correct diagonal. Enter inches as decimal or fraction with space or slash. eg: 120.75 or 120 3/4 or 120 3 4 In the diagram, if the diagonal is for side lengths of and the has 90° corners (right angles) and is 'Square'. |
Side 1 Side 2
Lay out a Square or Rectangle By Yourself - No one to help read the tape for the diagonal while you adjust the line at the batterboard?
Adjust | If you're laying out a large square or rectangle (with batterboards) by yourself with no one to read the diagonal from the tape as you adjust the string line at the batterboard to get it square (get the diagonal right), after you get it 'close' (eyeball it), measure the diagonal and enter it here to calculate how far to move the string line at the batterboard, to square it. The Red lines are what you have now - The Blue lines are where you need to be - The distance to move the string line is marked above the batterboard at the top of the diagram. Make sure the Reference Length, Side length and Batterboard Gap are accurate first. |
If your Reference Length is flush on an existing structure, and there's no batterboard behind it, you're good to go. If the layout is separate, and needs 4 corner batterboards, first find the 2 end Reference Length points (square off a boundary?) and drive stakes at each end of the Reference Length. These 2 points will stay put, and must be in the correct position. (they're reference points).
Next place the batterboard for the first side (as per diagram at top) and pull a line from the (permanent) reference point stake to the batterboard (eyeball it for square). Mark the Side Length (permanent marker) on the line from the Reference Length stake to measure diagonal to.
Use this calculator to adjust the line position to square the first side, then pull a line from this position on the batterboard BACK OVER THE REFERENCE POINT STAKE to position the line on the lower batterboard.
Now you have 1 side square from the Reference points, you can easily place the rest of the batterboards and square the sides (check the diagonals).
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