{"id":20997,"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-11\/"},"modified":"2026-05-25T16:51:13","modified_gmt":"2026-05-25T10:51:13","slug":"composite-area-with-square-cutout-11","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/composite-area-with-square-cutout-11\/","title":{"rendered":"Composite Area with Square Cutout"},"content":{"rendered":"<p>A rectangular cardboard is 55 m by 9 m. A square of side 5 m is cut from it. What area remains?<\/p>\n<ul class=\"quiz-options\">\n<li>520 m\u00b2<\/li>\n<li>108 m\u00b2<\/li>\n<li>470 m\u00b2<\/li>\n<li>495 m\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-20997","mcq","type-mcq","status-publish","hentry","topic-area","topic-composite-figures","subject-mensuration","education_level-grade-8"],"mcq_note":"First find the rectangle area: 55 \u00d7 9 = 495. The cut-out square area is 5 \u00d7 5 = 25. Remaining area = 495 \u2212 25 = 470 square m. 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 470 m\u00b2.","mcq_options":[{"right":"no","answer":"520 m\u00b2"},{"right":"no","answer":"108 m\u00b2"},{"right":"yes","answer":"470 m\u00b2"},{"right":"no","answer":"495 m\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\/20997","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=20997"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=20997"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=20997"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=20997"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=20997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}