{"id":28060,"date":"2022-01-17T18:10:59","date_gmt":"2022-01-17T12:40:59","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=28060"},"modified":"2022-01-17T18:10:59","modified_gmt":"2022-01-17T12:40:59","slug":"perimeter-and-area-class-7-notes-maths-chapter-11","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/perimeter-and-area\/class-7-notes-maths\/chapter-11\/","title":{"rendered":"Perimeter and Area Class 7 Notes Maths Chapter 11"},"content":{"rendered":"<p>The perimeter of a regular polygon = number of sides \u00d7 length of one side<\/p>\n<p>The perimeter of a square = 4 \u00d7 side<\/p>\n<p>Perimeter of rectangle = 2 \u00d7 (l + b)<br \/>\n(where l and b denote the length and breadth respectively of the rectangle)<\/p>\n<p>Area of a square = side \u00d7 side<\/p>\n<p>Area of a rectangle = l \u00d7 b<\/p>\n<p><strong>Triangles as Parts of Rectangles<\/strong><br \/>\nThe sum of the areas of the two triangles, into which a diagonal of a rectangle divides the rectangle, is the same as the area of the rectangle. Also, both the triangles are equal in area.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47063956084_1b0d7cab86_o.png\" alt=\"Perimeter and Area Class 7 Notes Maths Chapter 11 1\" width=\"209\" height=\"113\" \/><\/p>\n<p><strong>Generalising for Other Congruent Parts of Rectangles<\/strong><br \/>\nIf we divide a rectangle into two congruent parts so that the area of one part is equal to the area of the other part, then<br \/>\narea of each congruent part = \\(\\frac { 1 }{ 2 }\\) (the area of the rectangle)<\/p>\n<p>Area of parallelogram = base \u00d7 corresponding height (altitude)<\/p>\n<p><strong>Conversion of Units<\/strong><br \/>\n1cm =10 mm<br \/>\n1 cm<sup>2<\/sup> = 100 mm<sup>2<\/sup><br \/>\n1 m<sup>2<\/sup> = 100 \u00d7 100 = 10,000 cm<sup>2<\/sup><br \/>\n1 km<sup>2<\/sup> = 1000 \u00d7 1000 = 1,000,000 m<sup>2<\/sup><br \/>\n1 hectare = 10,000 m<sup>2<\/sup><\/p>\n<p>Perimeter of square = 4 \u00d7 side<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/33976101688_9098d5edff_o.png\" alt=\"Perimeter and Area Class 7 Notes Maths Chapter 11 2\" width=\"176\" height=\"145\" \/><\/p>\n<p>Perimeter of Rectangle = 2 \u00d7 (length + breadth)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47063956024_91967e0077_o.png\" alt=\"Perimeter and Area Class 7 Notes Maths Chapter 11 3\" width=\"254\" height=\"140\" \/><\/p>\n<p>Perimeter of triangle = sum of all sides of triangle = a + b + c<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/46937127855_ee07a62417_o.png\" alt=\"Perimeter and Area Class 7 Notes Maths Chapter 11 4\" width=\"156\" height=\"152\" \/><\/p>\n<p>Area of square = side \u00d7 side = (side)<sup>2<\/sup><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/46937127895_eb25c5c935_o.png\" alt=\"Perimeter and Area Class 7 Notes Maths Chapter 11 5\" width=\"184\" height=\"159\" \/><\/p>\n<p>Area of Rectangle = Length \u00d7 Breadth = l \u00d7 b<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/33976101528_319f2e6ca9_o.png\" alt=\"Perimeter and Area Class 7 Notes Maths Chapter 11 6\" width=\"284\" height=\"160\" \/><\/p>\n<p>Area of Triangle = \\(\\frac { 1 }{ 2 }\\) \u00d7 Base \u00d7 Height (Altitude)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47063955944_fd89c4da87_o.png\" alt=\"Perimeter and Area Class 7 Notes Maths Chapter 11 7\" width=\"212\" height=\"150\" \/><\/p>\n<p>Area of a parallelogram = Base \u00d7 Height<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/46937127775_8b9a9c064f_o.png\" alt=\"Perimeter and Area Class 7 Notes Maths Chapter 11 8\" width=\"186\" height=\"156\" \/><\/p>\n<p>The distance around a circular region is known as its circumference.<\/p>\n<p>Circumference of a circle = \u03c0d = \u03c0(2r) = 2\u03c0r. where d is diameter and r is the radius.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/33976101318_b8f9f1e5cd_o.png\" alt=\"Perimeter and Area Class 7 Notes Maths Chapter 11 9\" width=\"165\" height=\"163\" \/><\/p>\n<p>Area of a circle = \u03c0r<sup>2<\/sup><br \/>\n\u03c0 = \\(\\frac { 22 }{ 7 }\\) or 3.14 (approximately).<\/p>\n<h5><\/h5>\n","protected":false},"excerpt":{"rendered":"<p>The perimeter of a regular polygon = number of sides \u00d7 length of one side The perimeter of a square [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"Perimeter and Area Class 7 Notes Maths Chapter 11","_yoast_wpseo_metadesc":"CBSE Class 7 Maths Notes Chapter 11 Perimeter and Area ... 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