{"id":20809,"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-3\/"},"modified":"2026-05-25T05:47:28","modified_gmt":"2026-05-24T23:47:28","slug":"composite-area-with-square-cutout-3","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/composite-area-with-square-cutout-3\/","title":{"rendered":"Composite Area with Square Cutout"},"content":{"rendered":"<p>A rectangular cardboard is 51 cm by 13 cm. A square of side 5 cm is cut from it. What area remains?<\/p>\n<ul class=\"quiz-options\">\n<li>688 cm\u00b2<\/li>\n<li>638 cm\u00b2<\/li>\n<li>108 cm\u00b2<\/li>\n<li>663 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-20809","mcq","type-mcq","status-publish","hentry","topic-area","topic-composite-figures","subject-mensuration","education_level-grade-8"],"mcq_note":"First find the rectangle area: 51 \u00d7 13 = 663. The cut-out square area is 5 \u00d7 5 = 25. Remaining area = 663 \u2212 25 = 638 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 638 cm\u00b2.","mcq_options":[{"right":"no","answer":"688 cm\u00b2"},{"right":"yes","answer":"638 cm\u00b2"},{"right":"no","answer":"108 cm\u00b2"},{"right":"no","answer":"663 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\/20809","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=20809"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=20809"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=20809"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=20809"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=20809"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}