Find Area Of Composite Figures (Rectangles And Semicircles) Problems

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#1 of 7: Mild

Find area of composite figures (rectangles and semicircles)

<p>The composite figure below is made up of a semicircle and a rectangle. </p><CompositeRectangleSemiCircle data-props='{ "adjacent_circles": [ { "radius": { "label": { "text": "5 in", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "10 in", "show": false } }, "color": "#D8D8DF", "position": "top", "show_center": false } ], "rectangle": { "height": { "value": 9, "label": { "text": "9 in", "show": true }, "side": "right" }, "width": { "value": 10, "label": { "text": "10 in", "show": true }, "side": "bottom" }, "color": "#D8D8DF" }, "debug": false}'></CompositeRectangleSemiCircle ><p>What is the area of the given composite figure? </br><highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth.</highlight></p>

#2 of 7: Medium

Find area of composite figures (rectangles and semicircles)

<p>The composite figure below is made up of semicircles and a rectangle.</p><CompositeRectangleSemiCircle data-props='{ "adjacent_circles": [ { "radius": { "label": { "text": "5 cm", "show": false, "background": "white" }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "10 cm", "show": false }, "color": "" }, "color": "#D8D8DF", "position": "top", "show_center": false }, { "radius": { "label": { "text": "5 cm", "show": false }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "10 cm", "show": true }, "color": "black" }, "color": "#D8D8DF", "position": "bottom", "show_center": false } ], "rectangle": { "height": { "value": 7, "label": { "text": "7 cm", "show": true }, "side": "left" }, "width": { "value": 10, "label": { "text": "10 cm", "show": true }, "side": "bottom" }, "color": "#D8D8DF" }, "debug": false}'></CompositeRectangleSemiCircle ><p>What is the area of the given composite figure?<br><highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth.</highlight> </p>

#3 of 7: Medium

Find area of composite figures (rectangles and semicircles)

<p>The composite figure below is made up of semicircles and a rectangle.</p><CompositeRectangleSemiCircle data-props='{ "adjacent_circles": [ { "radius": { "label": { "text": "3 ft", "show": false, "background": "white" }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "6 ft", "show": false }, "color": "" }, "color": "#D8D8DF", "position": "top", "show_center": false }, { "radius": { "label": { "text": "3 ft", "show": false }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "6 ft", "show": true }, "color": "black" }, "color": "#D8D8DF", "position": "bottom", "show_center": false } ], "rectangle": { "height": { "value": 9, "label": { "text": "9 ft", "show": true }, "side": "right" }, "width": { "value": 6, "label": { "text": "6 ft", "show": false }, "side": "bottom" }, "color": "#D8D8DF" }, "debug": false}'></CompositeRectangleSemiCircle ><p>What is the area of the given composite figure?<br><highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth.</highlight> </p>

#4 of 7: Medium

Find area of composite figures (rectangles and semicircles)

<p>The composite figure below is made up of semicircles and a rectangle.</p><CompositeRectangleSemiCircle data-props='{ "adjacent_circles": [ { "radius": { "label": { "text": "2 cm", "show": false, "background": "white" }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "4 cm", "show": true }, "color": "" }, "color": "#D8D8DF", "position": "left", "show_center": false }, { "radius": { "label": { "text": "2 cm", "show": false }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "4 cm", "show": false }, "color": "black" }, "color": "#D8D8DF", "position": "right", "show_center": false } ], "rectangle": { "height": { "value": 4, "label": { "text": "4 cm", "show": true }, "side": "right" }, "width": { "value": 7, "label": { "text": "7 cm", "show": true }, "side": "bottom" }, "color": "#D8D8DF" }, "debug": false}'></CompositeRectangleSemiCircle ><p>What is the area of the given composite figure?<br><highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth.</highlight> </p>

#5 of 7: Spicy

Find area of composite figures (rectangles and semicircles)

<p>The composite figure below is made up of semicircles and a rectangle.</p><CompositeRectangleSemiCircle data-props='{ "adjacent_circles": [ { "radius": { "label": { "text": "4 m", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "8 m", "show": false }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "top", "show_center": false }, { "radius": { "label": { "text": "4 m", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "8 m", "show": true }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "bottom", "show_center": false }, { "radius": { "label": { "text": "6 m", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "12 m", "show": true }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "right", "show_center": false }, { "radius": { "label": { "text": "6 m", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "12 m", "show": false }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "left", "show_center": false } ], "rectangle": { "height": { "value": 12, "label": { "text": "12 m", "show": true }, "side": "right" }, "width": { "value": 8, "label": { "text": "8 m", "show": true }, "side": "bottom" }, "color": "#D8D8DF" }, "debug": false}'></CompositeRectangleSemiCircle ><p>What is the area of the given composite figure? <br><highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth.</highlight></p>

#6 of 7: Spicy

Find area of composite figures (rectangles and semicircles)

<p>The composite figure below is made up of semicircles and a rectangle.</p><CompositeRectangleSemiCircle data-props='{ "adjacent_circles": [ { "radius": { "label": { "text": "5 yd", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "10 yd", "show": false }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "top", "show_center": false }, { "radius": { "label": { "text": "5 yd", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "10 yd", "show": true }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "bottom", "show_center": false }, { "radius": { "label": { "text": "6 yd", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "12 yd", "show": true }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "right", "show_center": false }, { "radius": { "label": { "text": "6 yd", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "12 yd", "show": false }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "left", "show_center": false } ], "rectangle": { "height": { "value": 12, "label": { "text": "12 yd", "show": false }, "side": "right" }, "width": { "value": 10, "label": { "text": "10 yd", "show": true }, "side": "bottom" }, "color": "#D8D8DF" }, "debug": false}'></CompositeRectangleSemiCircle ><p>What is the area of the given composite figure?<br><highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth.</highlight> </p>

#7 of 7: Spicy

Find area of composite figures (rectangles and semicircles)

<p>The composite figure below is made up of semicircles and a rectangle.</p><CompositeRectangleSemiCircle data-props='{ "adjacent_circles": [ { "radius": { "label": { "text": "3 m", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "6 m", "show": false }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "top", "show_center": false }, { "radius": { "label": { "text": "3 m", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "6 m", "show": true }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "bottom", "show_center": false }, { "radius": { "label": { "text": "2 m", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "4 m", "show": true }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "right", "show_center": false }, { "radius": { "label": { "text": "2 m", "show": true }, "color": "black", "show_radius": false }, "diameter": { "label": { "text": "4 m", "show": false }, "line_style": "dashed" }, "color": "#D8D8DF", "position": "left", "show_center": false } ], "rectangle": { "height": { "value": 4, "label": { "text": "4 m", "show": false }, "side": "right" }, "width": { "value": 6, "label": { "text": "6 m", "show": true }, "side": "bottom" }, "color": "#D8D8DF" }, "debug": false}'></CompositeRectangleSemiCircle ><p>What is the area of the given composite figure?<br><highlight data-color="#666" data-style="italic">Round your answer to the nearest hundredth.</highlight> </p>

Composite figures consist of two or more different figures. For example, a rectangle and a semicircle can be put together to form a different shape. We can find these composite figures in our everyday lives. However, we cannot apply the usual formula that we apply for finding out the area of usual figures like rectangles, circles, squares, and so on. 


 

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Grade 7
Surface Area And Volume
7.G.B.6

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”