Finding Area Of Shaded Region Quiz

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": 170, "label": { "text": "17 in" }, "side": "right", "color": "black", "highlight": true }, "width": { "value": 250, "label": { "text": "25 in" }, "color": "#000", "side": "bottom", "highlight": true }, "color": "#D8D8DF", "border_color": "#000" }, "offset_y": -40, "offset_x": -30 }, "inner": { "type": "rectangle", "shape": { "height": { "value": 90, "label": { "text": "9 in" }, "side": "right", "color": "black", "highlight": true }, "width": { "value": 110, "label": { "text": "11 in" }, "color": "#000", "side": "bottom", "highlight": true }, "color": "#FFFFFF", "border_color": "#000" } } }'></CompositeShapeInShape > <p>What is the area of the shaded region?</p>

#2 of 8: Mild

Find area of shaded region

<p>The diagram below shows a triangle inside of a triangle.</p><CompositeShapeInShape data-props='{ "inner": { "type": "triangle", "shape": { "type": "isosceles", "base": { "value": 72, "label": { "text": "8 in" } }, "height": { "value": 45, "label": { "text": "5 in", "background": "none" }, "color": "black" }, "show_right_angle": true, "color": "#FFFFFF", "border_color": "#080808" }, "offset_y": 0, "offset_x": 0 }, "outer": { "type": "triangle", "shape": { "type": "right", "base": { "value": 198, "label": { "text": "22 in" } }, "height": { "value": 153, "label": { "text": "17 in", "background": "white" }, "color": "black" }, "show_right_angle": true, "color": " #D8D8DF", "border_color": "#080808" } }}'></CompositeShapeInShape ><p>What is the area of the shaded region?</p>

#3 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": 80, "label": { "text": "8 cm", "background": "None", "show": true }, "color": "#000", "angle": 0 }, "show_center": true, "color": "white", "border_color": "#000" } }, "outer": { "type": "square", "shape": { "height": { "value": 270, "label": { "text": "27 cm" }, "side": "right", "color": "black" }, "width": { "value": 320, "label": { "text": "32 cm" }, "color": "#000", "side": "bottom" }, "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>

#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": 60, "label": { "text": "3 mm" }, "side": "left", "color": "black", "highlight": true }, "width": { "value": 100, "label": { "text": "5 mm" }, "color": "black", "side": "top", "highlight": true }, "color": "white", "border_color": "black" }, "offset_y": -75 }, "outer": { "type": "circle", "shape": { "radius": { "value": 180, "label": { "text": "9 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": 30, "label": { "text": "3 ft" }, "side": "left", "color": "black", "highlight": false }, "width": { "value": 70, "label": { "text": "7 ft" }, "color": "#00", "side": "bottom", "highlight": true }, "color": "#FFFFFF", "border_color": "#000" }, "offset_y": 15, "offset_x": 10 }, "outer": { "type": "triangle", "shape": { "type": "right_angle", "base": { "value": 220, "label": { "text": "22 ft" } }, "height": { "value": 170, "label": { "text": "17 ft" } }, "show_right_angle": true, "color": "#D8D8DF", "border_color": "#080808" } }}'></CompositeShapeInShape > <p>What is the area of the shaded region?</p>

#6 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": 120, "label": { "text": "8 ft" } }, "height": { "value": 90, "label": { "text": "6 ft", "background": "" }, "color": "black" }, "show_right_angle": true, "color": "#FFFFFF", "border_color": "#080808" }, "offset_y": 18 }, "outer": { "type": "rectangle", "shape": { "height": { "value": 225, "label": { "text": "15 ft" }, "side": "right", "color": "black", "highlight": true }, "width": { "value": 300, "label": { "text": "20 ft" }, "color": "#000", "side": "bottom", "highlight": true }, "color": "#D8D8DF", "border_color": "#000" } }}'></CompositeShapeInShape ><p>What is the area of the shaded region?</p>

#7 of 8: Spicy

Find area of shaded region

<p>The diagram below shows a triangle inside of a circle. </p><CompositeShapeInShape data-props='{ "inner": { "type": "triangle", "shape": { "type": "right", "base": { "value": 150, "label": { "text": "15 ft" } }, "height": { "value": 120, "label": { "text": "12 ft", "background": "none" }, "color": "black" }, "show_right_angle": true, "color": "#FFFFFF", "border_color": "#080808" }, "offset_x": 0, "offset_y": 0 }, "outer": { "type": "circle", "shape": { "radius": { "value": 130, "label": { "text": "13 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>

#8 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": 30, "label": { "text": "2 cm", "background": "none", "show": true }, "color": "#080808", "angle": 0 }, "show_center": true, "color": "white", "border_color": "black" }, "offset_x": 10 }, "outer": { "type": "triangle", "shape": { "type": "right_angle", "base": { "value": 255, "label": { "text": "17 cm" }, "color": "black" }, "height": { "value": 180, "label": { "text": "12 cm" }, "color": "black" }, "show_right_angle": 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>

Irregular or composite shapes are an essential part of geometric or applied mathematics. They are used to solve real-world geometric problems. Finding Area Of Shaded Region Quiz assesses students’ knowledge of various shapes and their area calculation. It also checks whether students can deal with calculating more than one geometric shape at times.

 

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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.”