{"id":10763,"date":"2017-06-05T15:55:04","date_gmt":"2017-06-05T15:55:04","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=10763"},"modified":"2021-05-20T22:36:58","modified_gmt":"2021-05-20T22:36:58","slug":"using-the-properties-of-trapezoids-to-solve-problems","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/chapter\/using-the-properties-of-trapezoids-to-solve-problems\/","title":{"raw":"","rendered":""},"content":{"raw":"<div class=\"textbox learning-objectives\"><\/div>\r\nhttps:\/\/youtu.be\/WNo7s-XoI4w\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nFind the area of a trapezoid whose height is [latex]5[\/latex] feet and whose bases are [latex]10.3[\/latex] and [latex]13.7[\/latex] feet.\r\n[reveal-answer q=\"158293\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"158293\"]\r\n\r\nSolution\r\n<table id=\"eip-id1168469577474\" class=\"unnumbered unstyled\" style=\"width: 859px\" summary=\"Step 1 says, \">\r\n<tbody>\r\n<tr style=\"height: 178.867px\">\r\n<td style=\"width: 417.267px;height: 178.867px\">Step 1. <strong>Read<\/strong> the problem. Draw the figure and label it with the given information.<\/td>\r\n<td style=\"width: 414.733px;height: 178.867px\"><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24223958\/CNX_BMath_Figure_09_04_081_img-01.png\" alt=\".\" \/><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px\">\r\n<td style=\"width: 417.267px;height: 15px\">Step 2. <strong>Identify<\/strong> what you are looking for.<\/td>\r\n<td style=\"width: 414.733px;height: 15px\">the area of the trapezoid<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px\">\r\n<td style=\"width: 417.267px;height: 15px\">Step 3. <strong>Name.<\/strong> Choose a variable to represent it.<\/td>\r\n<td style=\"width: 414.733px;height: 15px\">Let <em>A<\/em> = the area<\/td>\r\n<\/tr>\r\n<tr style=\"height: 102px\">\r\n<td style=\"width: 417.267px;height: 102px\">Step 4.<strong>Translate.<\/strong>\r\n\r\nWrite the appropriate formula.\r\n\r\nSubstitute.<\/td>\r\n<td style=\"width: 414.733px;height: 102px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 90px\">\r\n<td style=\"width: 417.267px;height: 90px\"><\/td>\r\n<td style=\"width: 414.733px;height: 90px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 305px\">\r\n<td style=\"width: 417.267px;height: 305px\"><\/td>\r\n<td style=\"width: 414.733px;height: 305px\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px\">\r\n<td style=\"width: 417.267px;height: 15px\"><\/td>\r\n<td style=\"width: 414.733px;height: 15px\"><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm\r\n\r\n<\/div>","rendered":"<div class=\"textbox learning-objectives\"><\/div>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Ex:  Find the Area of a Trapezoid\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/WNo7s-XoI4w?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Find the area of a trapezoid whose height is [latex]5[\/latex] feet and whose bases are [latex]10.3[\/latex] and [latex]13.7[\/latex] feet.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q158293\">Show Solution<\/span><\/p>\n<div id=\"q158293\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168469577474\" class=\"unnumbered unstyled\" style=\"width: 859px\" summary=\"Step 1 says,\">\n<tbody>\n<tr style=\"height: 178.867px\">\n<td style=\"width: 417.267px;height: 178.867px\">Step 1. <strong>Read<\/strong> the problem. Draw the figure and label it with the given information.<\/td>\n<td style=\"width: 414.733px;height: 178.867px\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24223958\/CNX_BMath_Figure_09_04_081_img-01.png\" alt=\".\" \/><\/td>\n<\/tr>\n<tr style=\"height: 15px\">\n<td style=\"width: 417.267px;height: 15px\">Step 2. <strong>Identify<\/strong> what you are looking for.<\/td>\n<td style=\"width: 414.733px;height: 15px\">the area of the trapezoid<\/td>\n<\/tr>\n<tr style=\"height: 15px\">\n<td style=\"width: 417.267px;height: 15px\">Step 3. <strong>Name.<\/strong> Choose a variable to represent it.<\/td>\n<td style=\"width: 414.733px;height: 15px\">Let <em>A<\/em> = the area<\/td>\n<\/tr>\n<tr style=\"height: 102px\">\n<td style=\"width: 417.267px;height: 102px\">Step 4.<strong>Translate.<\/strong><\/p>\n<p>Write the appropriate formula.<\/p>\n<p>Substitute.<\/td>\n<td style=\"width: 414.733px;height: 102px\"><\/td>\n<\/tr>\n<tr style=\"height: 90px\">\n<td style=\"width: 417.267px;height: 90px\"><\/td>\n<td style=\"width: 414.733px;height: 90px\"><\/td>\n<\/tr>\n<tr style=\"height: 305px\">\n<td style=\"width: 417.267px;height: 305px\"><\/td>\n<td style=\"width: 414.733px;height: 305px\"><\/td>\n<\/tr>\n<tr style=\"height: 15px\">\n<td style=\"width: 417.267px;height: 15px\"><\/td>\n<td style=\"width: 414.733px;height: 15px\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p>[ohm<\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-10763\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Question ID 146533, 146534, 146535. <strong>Authored by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Ex: Find the Area of a Trapezoid. <strong>Authored by<\/strong>: James Sousa (mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/WNo7s-XoI4w\">https:\/\/youtu.be\/WNo7s-XoI4w<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":11,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"original\",\"description\":\"Question ID 146533, 146534, 146535\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex: Find the Area of a Trapezoid\",\"author\":\"James Sousa 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