{"id":20312,"date":"2026-05-22T00:51:02","date_gmt":"2026-05-21T18:51:02","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/two-rectangular-mats-have-areas-56-cm2-and-66-cm2-they-overlap-by-5-cm2-what-is-the-total-covered-area\/"},"modified":"2026-05-22T00:51:02","modified_gmt":"2026-05-21T18:51:02","slug":"two-rectangular-mats-have-areas-56-cm2-and-66-cm2-they-overlap-by-5-cm2-what-is-the-total-covered-area","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/two-rectangular-mats-have-areas-56-cm2-and-66-cm2-they-overlap-by-5-cm2-what-is-the-total-covered-area\/","title":{"rendered":"Two rectangular mats have areas 56 cm\u00b2 and 66 cm\u00b2. They overlap by 5 cm\u00b2. What is the total covered area"},"content":{"rendered":"<p>Two rectangular mats have areas 56 cm\u00b2 and 66 cm\u00b2. They overlap by 5 cm\u00b2. What is the total covered area?<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>112 cm\u00b2<\/li>\n<li>56 cm\u00b2<\/li>\n<li>122 cm\u00b2<\/li>\n<li>117 cm\u00b2<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2859,2860],"subject":[2746],"education_level":[2495],"class_list":["post-20312","mcq","type-mcq","status-publish","hentry","topic-composite-area","topic-overlapping-shapes","subject-mensuration","education_level-grade-7"],"mcq_note":"Add both areas, then subtract the overlap once: 56+66\u22125 = 117 cm\u00b2. For a shaded or remaining part, find each simple area first, then subtract the part that is removed. The overlap is counted in both individual areas, so it must be subtracted once. This prevents double-counting the shared part and gives the actual total covered area.","mcq_options":[{"right":"no","answer":"112 cm\u00b2"},{"right":"no","answer":"56 cm\u00b2"},{"right":"no","answer":"122 cm\u00b2"},{"right":"yes","answer":"117 cm\u00b2"}],"multi_answers":"no","subject_terms":[{"id":2746,"title":"Mensuration","slug":"mensuration"}],"topic_terms":[{"id":2859,"title":"Composite Area","slug":"composite-area"},{"id":2860,"title":"Overlapping Shapes","slug":"overlapping-shapes"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/20312","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=20312"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=20312"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=20312"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=20312"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=20312"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}