[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-297528-105":59,"doc-detail-297528-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","mensuration-2d-shapes-formulas-properties-and-aptitude-questions","Mensuration 2D Shapes - Formulas, Properties, and Aptitude Questions","","Mensuration 2D focuses on calculating the perimeter and area of two-dimensional geometric shapes commonly used in quantitative aptitude. It explains key terminology such as area, perimeter, volume-related terms, curved surface area, lateral surface area, and total surface area, then develops triangle properties and formulas including perimeter and area relations. The content covers specific shapes—equilateral, isosceles, right-angled triangles, squares, rectangles, parallelograms, rhombus, trapezium, circles, semicircles, incircles, and circumcircles—plus a consolidated set of area and perimeter formulas for quick problem solving.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/mensuration-2d-shapes-formulas-properties-and-aptitude-questions/297528/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/mensuration-2d-shapes-formulas-properties-and-aptitude-questions/297528.png","ImageObject",300,407,{"name":92,"@type":93},"Miles","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does Mensuration 2D mainly cover?","Question",{"text":112,"@type":113},"Mensuration 2D mainly deals with perimeter and area problems of two-dimensional shapes such as triangles, squares, rectangles, circles, and parallelograms.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the area and perimeter of a triangle typically expressed in the guide?",{"text":117,"@type":113},"Triangle relations include perimeter a+b+c and area formulas such as 1/2×base×height, and a form using semi-perimeter s: √s(s-a)(s-b)(s-c).",{"name":119,"@type":110,"acceptedAnswer":120},"Which 2D shapes and formula types are included in the mensuration list?",{"text":121,"@type":113},"The guide covers squares, rectangles, circles, triangles (scalene/isosceles/equilateral/right), rhombus, parallelogram, trapezium, semicircle, incircle, and circumcircle, providing area and perimeter expressions for each.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},297528,1789745456,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":129,"read_time":144},13056703019404,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","# Mensuration 2D Shapes,Formulas,Properties with AptitudeQuestions\n\n2023/03/13  \nMensuration is a branch of mathematics in which we deal with the calculation of length,breath,height,area,volume and so on.Mensuration is mainly divided into 3 parts:Volume,Area and Perimeter.A section ofmathematics that communicates the length,volume or area of various geometric shapes is termed Mensuration.These shapes or patterns exist in two dimensions or three dimensions.  \n## What is Mensuration 2D?\n\nMensuration 2D is an important topic in Quantitative Aptitude,which mainly deals with problems related to theperimeter and area of two-dimensional shapes such as triangles,squares,rectangles,circles,parallelograms,etc.  \n## Mensuration 2D Important Terminologies\n\nLet us discover a few more definitions linked to the various geometric shapes.  \n\n| Terms   | Abbreviation   | Unit   | Definition   |\n| --- | --- | --- | --- |\n| Area   | A   | m²or cm²   | The area is the surface that is covered by the  \u003Cbr>closed shape.   |\n| Perimeter   | P   | cmorm   | The measure of the endless line by the boundary  \u003Cbr>of the presented figure is called a Perimeter.   |\n| Volume   | V   | m³or cm³   | The space utilized by a 3D shape or object is  \u003Cbr>termed a Volume.   |\n| Curved  \u003Cbr>Surface Area   | CSA   | m²or cm²   | If there is a curved surface/shape/object,then the  \u003Cbr>total area obtained is called a curved surface area.   |\n| Lateral  \u003Cbr>Surface area   | LSA   | m²or cm²   | The total area of all the lateral surfaces that  \u003Cbr>encloses the presented figure is termed the lateral  \u003Cbr>surface area.   |\n| Total Surface  \u003Cbr>Area   | TSA   | m²or cm²   | The aggregate of all the curved and lateral surface  \u003Cbr>areas is designated as the total surface area.   |\n| Square Unit   | 一   | m²or cm²   | The area incorporated by a square of the length of  \u003Cbr>one unit is termed a sguare unit   |\n\n\n|  |  |  |  |\n| --- | --- | --- | --- |\n| Cube Unit   | 一   | m³or cm³   | The volume involved by a cube of one side one is  \u003Cbr>termed a cube unit.   |\n\n## Properties of Triangle with Formulas\n\nA triangle is a three sided closed plane figure.The sum of three interior angles of any triangle is always equal to18o degree.Triangle can be categorized on the basis of sides as well as on the basis on angles.  \n   \n## Important Relations of Triangle\n\nPerimeter=a+b+c  \nArea of Triangle=[1/2×base×height]or=√s(s-a)(s-b)(s-c)  \nHere,s is a semi perimeter  \n## Learn about Centroid of a Triangle\n\n   \n## Properties of Equilateral Triangle with Formulas\n\nAll three sides are equal.  \n.All three angles are 60°  \n## Formulas of Equilateral Triangles\n\n   \n.Perimeter=3×side =3a.Side of an equilateral triangle=The sum of distances of a point inside a triangle fromall the sides×2/√3  \nProperties of Isosceles with Formulas  \n.Two sides are equal.  \n.AB=AC  \nFormula:  \n.Area of△=1/2×base ×height  \nLearn about Height and Distance  \n## Properties of Right Angle Triangle with Formulas\n\n.Hypotenuse=(base)²+(height)²  \n.Area=1/2×base×height=1/2×b×p  \n.Length of Perpendicular at hypotenuse=height×base/hypotenuse  \nProperties of Square with Formulas  \nSquare is a four-sided closed plane figure.The sum of 4 interior angles of a square is 360 degrees.  \n.Opposite sides of a square are both parallel and equal in length.  \n.The diagonals of a square are equal.AC=BD  \n.The diagonals of a square bisect each other and meet at 9o°.AO=OC,BO=OD and∠BOC=90°  \n.All four angles of a square are 90°.  \nFormula  \n.Perimeter=4×side  \n.Area=(side)²=1/2×(diameter)  \n.Diameter=√2 side  \n## Properties of Rectangle with Formulas\n\nRectangle is a four sided closed plane figure.The sum of four interior angles of a rectangle is 360 degree.  \n   \n.Opposite sides of a rectangle are equal in length.AB=DC,AD=BC  \n.Opposite sides of a rectangle are parallel.ABI CD,ADⅡBC  \n.The diagonals of a rectangle bisect each other.AO=OC,BO=OD  \n.All four angles of a square are 90°.  \nFormula  \n.Area=1×b.Perimeter=2(+b).Diameter=√i²+b².Here,Len","cbCaioDhnwV7tW7t","https://ap.wps.com/l/cbCaioDhnwV7tW7t","pdf",4255460,14,"English","# What is Mensuration 2D?\n## Mensuration 2D Important Terminologies\n## Properties of Triangle with Formulas\n## Important Relations of Triangle\n## Properties of Equilateral Triangle with Formulas\n## Properties of Isosceles Triangle with Formulas\n## Properties of Right Angle Triangle with Formulas\n## Properties of Square with Formulas\n## Properties of Rectangle with Formulas\n## Properties of Parallelogram with Formulas\n## Learn about Mixture and Alligations\n## Properties of Rhombus with Formulas\n## Properties of Trapezium with Formulas\n## Properties of Circle with Formulas\n## Properties of Semi Circle with Formulas\n## Properties of Incircle\n## Properties of Circumcircle\n## Formulas for Mensuration 2D Shapes","[{\"question\":\"What does Mensuration 2D mainly cover?\",\"answer\":\"Mensuration 2D mainly deals with perimeter and area problems of two-dimensional shapes such as triangles, squares, rectangles, circles, and parallelograms.\"},{\"question\":\"How is the area and perimeter of a triangle typically expressed in the guide?\",\"answer\":\"Triangle relations include perimeter a+b+c and area formulas such as 1/2×base×height, and a form using semi-perimeter s: √s(s-a)(s-b)(s-c).\"},{\"question\":\"Which 2D shapes and formula types are included in the mensuration list?\",\"answer\":\"The guide covers squares, rectangles, circles, triangles (scalene/isosceles/equilateral/right), rhombus, parallelogram, trapezium, semicircle, incircle, and circumcircle, providing area and perimeter expressions for each.\"}]","Mensuration 2D Shapes - Formulas, Properties, and Aptitude Questions | PDF",35]