{"id":20330,"date":"2026-05-22T00:52:50","date_gmt":"2026-05-21T18:52:50","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/two-rectangular-mats-have-areas-80-cm2-and-91-cm2-they-overlap-by-3-cm2-what-is-the-total-covered-area\/"},"modified":"2026-05-22T00:52:50","modified_gmt":"2026-05-21T18:52:50","slug":"two-rectangular-mats-have-areas-80-cm2-and-91-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-80-cm2-and-91-cm2-they-overlap-by-3-cm2-what-is-the-total-covered-area\/","title":{"rendered":"Two rectangular mats have areas 80 cm\u00b2 and 91 cm\u00b2. They overlap by 3 cm\u00b2. What is the total covered area"},"content":{"rendered":"<p>Two rectangular mats have areas 80 cm\u00b2 and 91 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>168 cm\u00b2<\/li>\n<li>80 cm\u00b2<\/li>\n<li>171 cm\u00b2<\/li>\n<li>165 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-20330","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: 80+91\u22123 = 168 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":"168 cm\u00b2"},{"right":"no","answer":"80 cm\u00b2"},{"right":"no","answer":"171 cm\u00b2"},{"right":"no","answer":"165 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\/20330","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=20330"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=20330"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=20330"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=20330"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=20330"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}