A quadrilateral is formed by the points (0,0) and (5,10) and (10,15) and (5,5)
Calculate the perimeter and area of ABCD and determine if it is a parallelogram
Calculate the distance AB between (0,0) and (5,10)
AB = Square Root((x2 - x1)2 + (y2 - y1)2)
AB = Square Root((5 - 0)2 + (10 - 0)2)
AB = Square
Root((52 + 102))
AB = √(25 + 100)
AB = √125
AB = 11.180339887499
Calculate the distance BC between (5,10) and (10,15)
BC = Square Root((x2 - x1)2 + (y2 - y1)2)
BC = Square Root((10 - 5)2 + (15 - 10)2)
BC = Square Root((52 +
52))
BC = √(25 + 25)
BC = √50
BC = 7.0710678118655
Calculate the distance CD between (10,15) and (5,5)
CD = Square Root((x2 - x1)2 + (y2 - y1)2)
CD = Square Root((5 - 10)2 + (5 - 15)2)
CD = Square Root((-52 + -102))
CD = √(25
+ 100)
CD = √125
CD = 11.180339887499
Calculate the distance AD between (0,0) and (5,5)
AD = Square Root((x2 - x1)2 + (y2 - y1)2)
AD = Square Root((5 - 0)2 + (5 - 0)2)
AD = Square Root((52 + 52))
AD = √(25 + 25)
AD =
√50
AD = 7.0710678118655
Calculate the perimeter of ABCD
Perimeter of ABCD = AB + BC + CD + AD
Perimeter of ABCD = 11.180339887499 + 7.0710678118655 + 11.180339887499 + 7.0710678118655
Perimeter of ABCD = 36.502815398729
Calculate the semi-perimeter (s) of ABCD
s = 18.251407699364
Calculate the Area (A) using Brahmagupta's Formula
A = √(s - a)(s
- b)(s - c)(s - d)
A = √(18.251407699364 - 11.180339887499)(18.251407699364 - 7.0710678118655)(18.251407699364 - 11.180339887499)(18.251407699364 - 7.0710678118655)
A = √(7.0710678118655)(11.180339887499)(7.0710678118655)(11.180339887499)
A = √(6250
A = 79.056941504209
What is the Answer?
How does the Quadrilateral Calculator work?
Given 4 points entered, this determines the area using Brahmaguptas Formula and perimeter of the quadrilateral formed by the points as well as checking to see if the quadrilateral (quadrangle) is a parallelogram.
What formulas are used for Quadrilateral?
Perimeter of ABCD = AB + BC + CD +AD
s = ½P
A = √(s - a)(s - b)(s - c)(s - d)
What 3 concepts are covered in the Quadrilateral Calculator?
parallelogram simple quadrilateral with two pairs of parallel sides.perimeterThe distance around a shape or objectquadrilateralPolygon with 4 edges/sides and 4 corners/vertices
Quadrilateral Calculator Video
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This online calculator calculates area of convex quadrilateral (rectangles too) given coordinates of four vertices (corners)
Articles that describe this calculator
- Area of a rectangle by coordinates
Area of rectangle by coordinates
Vertices (one vertex per line, x and y coordinates separated by semicolon)
Calculation precision
Digits after the decimal point: 2
Calculators used by this calculator
- Jarvis march
Similar calculators
- • Area of a rectangle by coordinates
- • Area of a convex quadrilateral. Example of creating a calculator.
- • Area of a quadrilateral
- • Area of a Rectangle by the length of one side and the diagonal
- • Total square
- • Math section ( 298 calculators )
PLANETCALC, Area of rectangle by coordinates
Base value (b):
Vertical height (h):
Area of Parallelogram:
Area of a Parallelogram Calculator is a free online tool that displays the parallelogram area for the given base and height value. BYJU’S online area of a parallelogram calculator tools make the calculation faster and it displays the area of a parallelogram in a fraction of seconds.
How to Use the Area of a Parallelogram Calculator?
The procedure to use the area of a parallelogram calculator is as follows:
Step 1: Enter the base and height value in the input field
Step 2: Now click the button “Calculate” to get the parallelogram area
Step 3: Finally, the area of a Parallelogram will be displayed in the output field
What is Meant by Area of a Parallelogram?
In mathematics, the parallelogram is a four-sided shape. It is a special type of quadrilateral. A parallelogram has four sides with two pairs of parallel sides of equal measure. Since it is a two-dimensional figure, it is measured using area and perimeter. The area of a parallelogram is defined as the region occupied by the shape parallelogram. Since, both the rectangle and the parallelogram have similar properties, the formula to calculate the parallelogram area is equal to the rectangle area. Thus the formula to calculate the area of a parallelogram is given by
Area of a parallelogram = Base × Height Square units