{"id":20872,"date":"2026-05-25T16:49:48","date_gmt":"2026-05-25T10:49:48","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/composite-area-with-square-cutout-6\/"},"modified":"2026-05-25T16:49:48","modified_gmt":"2026-05-25T10:49:48","slug":"composite-area-with-square-cutout-6","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/composite-area-with-square-cutout-6\/","title":{"rendered":"Composite Area with Square Cutout"},"content":{"rendered":"<p>A rectangular cardboard is 45 cm by 7 cm. A square of side 3 cm is cut from it. What area remains?<\/p>\n<ul class=\"quiz-options\">\n<li>324 cm\u00b2<\/li>\n<li>315 cm\u00b2<\/li>\n<li>92 cm\u00b2<\/li>\n<li>306 cm\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-20872","mcq","type-mcq","status-publish","hentry","topic-area","topic-composite-figures","subject-mensuration","education_level-grade-8"],"mcq_note":"First find the rectangle area: 45 \u00d7 7 = 315. The cut-out square area is 3 \u00d7 3 = 9. Remaining area = 315 \u2212 9 = 306 square cm. 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 306 cm\u00b2.","mcq_options":[{"right":"no","answer":"324 cm\u00b2"},{"right":"no","answer":"315 cm\u00b2"},{"right":"no","answer":"92 cm\u00b2"},{"right":"yes","answer":"306 cm\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\/20872","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=20872"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=20872"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=20872"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=20872"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=20872"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}