{"id":20318,"date":"2026-05-22T00:51:37","date_gmt":"2026-05-21T18:51:37","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/two-rectangular-mats-have-areas-30-cm2-and-36-cm2-they-overlap-by-3-cm2-what-is-the-total-covered-area\/"},"modified":"2026-05-22T00:51:37","modified_gmt":"2026-05-21T18:51:37","slug":"two-rectangular-mats-have-areas-30-cm2-and-36-cm2-they-overlap-by-3-cm2-what-is-the-total-covered-area","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/two-rectangular-mats-have-areas-30-cm2-and-36-cm2-they-overlap-by-3-cm2-what-is-the-total-covered-area\/","title":{"rendered":"Two rectangular mats have areas 30 cm\u00b2 and 36 cm\u00b2. They overlap by 3 cm\u00b2. What is the total covered area"},"content":{"rendered":"<p>Two rectangular mats have areas 30 cm\u00b2 and 36 cm\u00b2. They overlap by 3 cm\u00b2. What is the total covered area?<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>63 cm\u00b2<\/li>\n<li>60 cm\u00b2<\/li>\n<li>30 cm\u00b2<\/li>\n<li>66 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-20318","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: 30+36\u22123 = 63 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":"yes","answer":"63 cm\u00b2"},{"right":"no","answer":"60 cm\u00b2"},{"right":"no","answer":"30 cm\u00b2"},{"right":"no","answer":"66 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\/20318","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=20318"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=20318"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=20318"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=20318"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=20318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}