Calculate the perimeter and area of the quadrilateral formed by the po
Calculate the perimeter and area of the quadrilateral formed by the points (0,0) and (5,10) and (10,15) and (5,5)
A quadrilateral is formed by the points:
(0,0) and (5,10)
(10,15) and (5,5)
Calculate the perimeter and area of ABCD
See if it's a parallelogram
Calculate the distance AB
AB = √(x2 - x1)2 + (y2 - y1)2
AB = √(5 - 0)2 + (10 - 0)2
AB = √(52 + 102)
AB = √(25 + 100)
AB = √125
AB = 11.180339887499
Calculate the distance BC
BC = √(x2 - x1)2 + (y2 - y1)2
BC = √(10 - 5)2 + (15 - 10)2
BC = √(52 + 52)
BC = √(25 + 25)
BC = √50
BC = 7.0710678118655
Calculate the distance CD
CD = √(x2 - x1)2 + (y2 - y1)2
CD = √(5 - 10)2 + (5 - 15)2
CD = √(-52 + -102)
CD = √(25 + 100)
CD = √125
CD = 11.180339887499
Calculate the distance AD
AD = √(x2 - x1)2 + (y2 - y1)2
AD = √(5 - 0)2 + (5 - 0)2
AD = √(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 = | Perimeter |
| 2 |
| s = | 36.502815398729 |
| 2 |
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 = √(6250.0000000001
A = 79.05694150421
What is the Answer?
A = 79.05694150421
How does the Quadrilateral Calculator work?
Free Quadrilateral Calculator - 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.
This calculator has 4 inputs.
What 3 formulas are used for the Quadrilateral Calculator?
Perimeter of ABCD = AB + BC + CD +ADs = ½P
A = √(s - a)(s - b)(s - c)(s - d)
For more math formulas, check out our Formula Dossier
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/verticesExample calculations for the Quadrilateral Calculator
Quadrilateral Calculator Video
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