{"id":20975,"date":"2026-05-25T16:51:13","date_gmt":"2026-05-25T10:51:13","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/composite-area-with-square-cutout-10\/"},"modified":"2026-05-25T16:51:13","modified_gmt":"2026-05-25T10:51:13","slug":"composite-area-with-square-cutout-10","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/composite-area-with-square-cutout-10\/","title":{"rendered":"Composite Area with Square Cutout"},"content":{"rendered":"<p>A rectangular cardboard is 54 cm by 8 cm. A square of side 4 cm is cut from it. What area remains?<\/p>\n<ul class=\"quiz-options\">\n<li>448 cm\u00b2<\/li>\n<li>108 cm\u00b2<\/li>\n<li>416 cm\u00b2<\/li>\n<li>432 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-20975","mcq","type-mcq","status-publish","hentry","topic-area","topic-composite-figures","subject-mensuration","education_level-grade-8"],"mcq_note":"First find the rectangle area: 54 \u00d7 8 = 432. The cut-out square area is 4 \u00d7 4 = 16. Remaining area = 432 \u2212 16 = 416 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 416 cm\u00b2.","mcq_options":[{"right":"no","answer":"448 cm\u00b2"},{"right":"no","answer":"108 cm\u00b2"},{"right":"yes","answer":"416 cm\u00b2"},{"right":"no","answer":"432 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\/20975","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=20975"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=20975"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=20975"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=20975"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=20975"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}