{"id":3167,"date":"2022-11-18T22:41:00","date_gmt":"2022-11-19T02:41:00","guid":{"rendered":"http:\/\/mathfun4kids.com\/mlog\/?p=3167"},"modified":"2024-10-25T10:55:24","modified_gmt":"2024-10-25T14:55:24","slug":"mathcounts-geometry-exercise-3","status":"publish","type":"post","link":"https:\/\/mathfun4kids.com\/mlog\/?p=3167","title":{"rendered":"MathCounts Geometry Exercise – 3"},"content":{"rendered":"\n
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  1. ________ In $\\triangle{ABC}$, $D$ is the midpoint of $BC$. $E$ is on $AC$ so that $AE=2\\ EC$. The area of $\\triangle{ABC}$ is $60\\ cm^2$. Find the area of $\\triangle{ABF}$ in $cm^2$.<\/li><\/ol>
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    1. ________ The area of rectangle $ABCD$ is $36$. $E$ is on $AD$ so that $AE=3DE$. Find the area of the shaded region.<\/li><\/ol>
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      1. ________ In rectangle $ABCD$, $AB=8$, $AD=15$. The total area of the shaded regions is $70$. Find the area of quadrilateral $EFGO$.<\/li><\/ol>
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        1. ________ The area of square $ABCD$ is $120\\ cm^2$. $E$ is the midpoint of $AB$, $F$ is the midpoint of $BC$. Find the area of quadrilateral $BGHF$ in $cm^2$.<\/li><\/ol>
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          1. ________ In $\\triangle{ABC}$, $D$ is the midpoint of $AC$. $E$ and $F$ are on $BC$ so that $BE=EF=FC$. The area of $\\triangle{ABC}$ is $30$. Find the area of quadrilateral $MNEF$.<\/li><\/ol>
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            1. ________ The area of rectangle $ABCD$ is $36\\ cm^2$. The area of quadrilateral $PMON$ is $3\\ cm^2$. Find the total area of shaded regions in $cm^2$.<\/li><\/ol>
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              1. ________ In parallelogram $ABCD$, $BC:CE=3:2$, $AD=15$. The area of $\\triangle{ODE}$ is $6\\ cm^2$. Find the area of the shaded region in $cm^2$.<\/li><\/ol>
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                1. ________ In trapezoid $ABCD$, $ABED$ is a parallelogram. The areas of three triangles are given. Find the area of the shaded region.<\/li><\/ol>
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                  1. ________ In square $ABCD$, $AB=6$. $AE=\\dfrac{1}{3}AC$, $CF=\\dfrac{1}{3}BC$. Find the area the shaded region.<\/li><\/ol>
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                    1. ________ Square $PQRS$ has 3 vertices on the 3 sides of $\\triangle{ABC}$. $BQ=CQ$. Find the area of sqaure $PQRS$.<\/li><\/ol>
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                      ________ In $\\triangle{ABC}$, $D$ is the midpoint of $BC$. $E$ is on $AC$ so that $AE=2\\ EC$. The area of $\\triangle{ABC}$ is $60\\ cm^2$. Find the area of $\\triangle{ABF}$ in $cm^2$. ________ The area of rectangle $ABCD$ is $36$. $E$ … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[9,18,11],"tags":[],"_links":{"self":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/3167"}],"collection":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3167"}],"version-history":[{"count":22,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/3167\/revisions"}],"predecessor-version":[{"id":4596,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/3167\/revisions\/4596"}],"wp:attachment":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3167"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3167"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}