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Grade 7
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Surface Area And Volume
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Find Area Of Shaded Region

Find Area Of Shaded Region Problems

8 questions
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#1 of 8: Mild

Find area of shaded region

<p>The diagram below shows a rectangle inside of a rectangle. </p><CompositeShapeInShape data-props='{ "outer": { "type": "rectangle", "shape": { "height": { "value": 300, "label": { "text": "12 in" }, "side": "left", "color": "black", "highlight": true }, "width": { "value": 350, "label": { "text": "14 in" }, "color": "#000", "side": "bottom", "highlight": true }, "color": "#D8D8DF", "border_color": "#000" }, "offset_y": 18 }, "inner": { "type": "rectangle", "shape": { "height": { "value": 200, "label": { "text": "8 in" }, "side": "right", "color": "black", "highlight": true }, "width": { "value": 250, "label": { "text": "10 in" }, "color": "#000", "side": "above", "highlight": true }, "color": "#FFFFFF", "border_color": "#000" } } }'></CompositeShapeInShape > <p>What is the area of the shaded region?</p>

#2 of 8: Medium

Find area of shaded region

<p>The diagram below shows a circle inside of a rectangle. </p><CompositeShapeInShape data-props='{ "inner": { "type": "circle", "shape": { "radius": { "value": 30, "label": { "text": "3 in", "background": "none", "show": true }, "color": "black", "angle": 0 }, "show_center": true, "color": "white", "border_color": "black" }, "offset_y": -40, "offset_x": -30 }, "outer": { "type": "rectangle", "shape": { "height": { "value": 150, "label": { "text": "15 in" }, "side": "right", "color": "black" }, "width": { "value": 180, "label": { "text": "18 in" }, "color": "black", "side": "bottom" }, "color": "#D8D8DF", "border_color": "black" } }}'></CompositeShapeInShape ><p>What is the area of the shaded region?<br><highlight data-color="#666" data-style="italic">Use `3.14` for 𝛑</highlight></p>

#3 of 8: Medium

Find area of shaded region

<p>The diagram below shows a triangle inside of a rectangle. </p><CompositeShapeInShape data-props='{ "inner": { "type": "triangle", "shape": { "type": "isosceles", "base": { "value": 70, "label": { "text": "7 cm" } }, "height": { "value": 60, "label": { "text": "6 cm", "background": "none" }, "color": "black" }, "show_right_angle": true, "color": "#FFFFFF", "border_color": "#080808" }, "offset_y": -35, "offset_x": -20 }, "outer": { "type": "rectangle", "shape": { "height": { "value": 140, "label": { "text": "14 cm" }, "side": "right", "color": "black", "highlight": true }, "width": { "value": 210, "label": { "text": "21 cm" }, "color": "black", "side": "bottom", "highlight": true }, "color": "#D8D8DF", "border_color": "black" } }}'></CompositeShapeInShape ><p>What is the area of the shaded region?</p>

#4 of 8: Medium

Find area of shaded region

<p>The diagram below shows a rectangle inside of a circle. </p><CompositeShapeInShape data-props='{ "inner": { "type": "rectangle", "shape": { "height": { "value": 40, "label": { "text": "4 mm" }, "side": "left", "color": "black", "highlight": true }, "width": { "value": 120, "label": { "text": "12 mm" }, "color": "black", "side": "bottom", "highlight": true }, "color": "white", "border_color": "black" }, "offset_y": 60, "offset_x": 10 }, "outer": { "type": "circle", "shape": { "radius": { "value": 190, "label": { "text": "19 mm", "show": true }, "color": "black", "angle": 0 }, "show_center": true, "color": "#D8D8DF", "border_color": "black" } }}'></CompositeShapeInShape ><p>What is the area of the shaded region?<br><highlight data-color="#666" data-style="italic">Use `3.14` for 𝛑</highlight></p>

#5 of 8: Medium

Find area of shaded region

<p>The diagram below shows a rectangle inside of a triangle.</p> <CompositeShapeInShape data-props='{ "inner": { "type": "rectangle", "shape": { "height": { "value": 60, "label": { "text": "6 mm" }, "side": "left", "color": "black", "highlight": false }, "width": { "value": 90, "label": { "text": "9 mm" }, "color": "#00", "side": "top", "highlight": true }, "color": "#FFFFFF", "border_color": "#000" }, "offset_y": 15, "offset_x": 10 }, "outer": { "type": "triangle", "shape": { "type": "right_angle", "base": { "value": 350, "label": { "text": "35 mm" } }, "height": { "value": 180, "label": { "text": "18 mm" } }, "show_right_angle": true, "color": "#D8D8DF", "border_color": "#080808" } }}'></CompositeShapeInShape ><p>What is the area of the shaded region?</p>

#6 of 8: Spicy

Find area of shaded region

<p>The diagram below shows a circle inside of a triangle. </p><CompositeShapeInShape data-props='{ "inner": { "type": "circle", "shape": { "radius": { "value": 40, "label": { "text": "2 cm", "background": "none", "show": true }, "color": "#080808", "angle": 0 }, "show_center": true, "color": "#FFFFFF", "border_color": "#000" }, "offset_y": 10 }, "outer": { "type": "triangle", "shape": { "type": "right_angle", "base": { "value": 180, "label": { "text": "9 cm" }, "color": "#000" }, "height": { "value": 380, "label": { "text": "19 cm" }, "color": "black" }, "show_right_angle": true, "color": "#D8D8DF", "border_color": "#000" } }}'></CompositeShapeInShape ><p>What is the area of the shaded region?</br><highlight data-color="#666" data-style="italic">Use `3.14` for 𝛑</highlight></p>

#7 of 8: Spicy

Find area of shaded region

<p>The diagram below shows a circle inside of a circle. </p><CompositeShapeInShape data-props='{ "inner": { "type": "circle", "shape": { "radius": { "value": 50, "label": { "text": "10 m", "background": " none", "show": true }, "color": "#080808", "angle": 180 }, "show_center": true, "color": "#FFFFFF", "border_color": "#080808" } }, "outer": { "type": "circle", "shape": { "radius": { "value": 75, "label": { "text": "15 m", "show": true }, "color": "#080808", "angle": 0 }, "show_center": true, "color": "#D8D8DF", "border_color": "#080808" } }}'></CompositeShapeInShape ><p>What is the area of the shaded region?</p></br><highlight data-color="#666" data-style="italic">Use `3.14` for 𝛑</highlight></p>

#8 of 8: Spicy

Find area of shaded region

<p>The diagram below shows a circle inside of a circle. </p><CompositeShapeInShape data-props='{ "inner": { "type": "circle", "shape": { "radius": { "value": 70, "label": { "text": "7 ft", "background": "none", "show": true }, "color": "black", "angle": 90 }, "show_center": true, "color": "#FFFFFF", "border_color": "#080808" } }, "outer": { "type": "circle", "shape": { "radius": { "value": 100, "label": { "text": "10 ft", "show": true }, "color": "#080808", "angle": 0 }, "show_center": true, "color": "#D8D8DF", "border_color": "#080808" } }}'></CompositeShapeInShape ><p>What is the area of the shaded region?</br><highlight data-color="#666" data-style="italic">Use `3.14` for 𝛑</highlight></p>

In the geometrical shapes, shaded and unshaded regions have different shapes. There are many different ways to find the area of the regions. Suppose we have to find the area of the shaded region of the polygon, one needs to subtract the unshaded region area from the total area of a polygon. Solving Area of Shaded Region problems will help the student to understand the region area and the ways to find the area differently from shaded regions.

The teacher can use these problems to enhance students’ interest in the topic and concept.

You can also try Solve for Area of Shaded Region Worksheet and Finding Area Of Shaded Region Quiz as well for a better understanding of the concepts.

In the geometrical shapes, shaded and unshaded regions have different shapes. There are many different ways to find the area of the regions. Suppose we have to find the area of the shaded region of the polygon, one needs to subtract the unshaded region area from the total area of a polygon. Solving Area of Shaded Region problems will help the student to understand the region area and the ways to find the area differently from shaded regions.

The teacher can use these problems to enhance students’ interest in the topic and concept.

You can also try Solve for Area of Shaded Region Worksheet and Finding Area Of Shaded Region Quiz as well for a better understanding of the concepts.

In the geometrical shapes, shaded and unshaded regions have different shapes. There are many different ways to find the area of the regions. Suppose we have to find the area of the shaded region of the polygon, one needs to subtract the unshaded region area from the total area of a polygon. Solving Area of Shaded Region problems will help the student to understand the region area and the ways to find the area differently from shaded regi...

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Grade 7
Surface Area And Volume
7.G.B.6 7.G.B.4

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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.”