{"id":20787,"date":"2026-05-25T05:47:28","date_gmt":"2026-05-24T23:47:28","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/composite-area-with-square-cutout-2\/"},"modified":"2026-05-25T05:47:28","modified_gmt":"2026-05-24T23:47:28","slug":"composite-area-with-square-cutout-2","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/composite-area-with-square-cutout-2\/","title":{"rendered":"Composite Area with Square Cutout"},"content":{"rendered":"<p>A rectangular cardboard is 50 mm by 12 mm. A square of side 4 mm is cut from it. What area remains?<\/p>\n<ul class=\"quiz-options\">\n<li>616 mm\u00b2<\/li>\n<li>600 mm\u00b2<\/li>\n<li>108 mm\u00b2<\/li>\n<li>584 mm\u00b2<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2780,2823],"subject":[2746],"education_level":[1894],"class_list":["post-20787","mcq","type-mcq","status-publish","hentry","topic-area","topic-composite-figures","subject-mensuration","education_level-grade-8"],"mcq_note":"First find the rectangle area: 50 \u00d7 12 = 600. The cut-out square area is 4 \u00d7 4 = 16. Remaining area = 600 \u2212 16 = 584 square mm. For composite figures, split the shape into simple parts or subtract the removed part. Here the square is cut out, so its area must be subtracted from the rectangle area, not added. So the correct choice is 584 mm\u00b2.","mcq_options":[{"right":"no","answer":"616 mm\u00b2"},{"right":"no","answer":"600 mm\u00b2"},{"right":"no","answer":"108 mm\u00b2"},{"right":"yes","answer":"584 mm\u00b2"}],"multi_answers":"no","subject_terms":[{"id":2746,"title":"Mensuration","slug":"mensuration"}],"topic_terms":[{"id":2780,"title":"Area","slug":"area"},{"id":2823,"title":"Composite Figures","slug":"composite-figures"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/20787","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=20787"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=20787"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=20787"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=20787"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=20787"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}