Calculate the perimeter and area of the quadrilateral formed by the po

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 AB = (x2 - x1)2 + (y2 - y1)2 AB = (5 - 0)2 + (10 - 0)2

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)

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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 +AD

s = 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/vertices

Example calculations for the Quadrilateral Calculator

Quadrilateral Calculator Video


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