Area Of Trapezoid (Decompositon Of Areas) Problems

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#1 of 7: Mild

Area of trapezoid (decompositon of areas)

<p>What is the area of the given trapezoid?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number or exact decimal. </highlight></p><TrapezoidArea data-props='{ "reverse": false, "rectangle": { "width": { "value": 8, "side": "bottom", "label": { "text": "8 ft", "show": true, "style": "capped" } }, "height": { "value": 12, "side": "left", "label": { "text": "12 ft", "style": "capped", "show": true } }, "border_color": "black" }, "triangle": [ { "border_color": "black", "position": "right", "base": { "value": 4, "label": { "text": "4 ft", "show": true, "style": "capped" } }, "height": { "value": 12 }, "right_angle": { "show": false }, "partial_side": { "show": true } } ], "options": { "cell_size": 17, "padding": 2.3 }}'></TrapezoidArea>

#2 of 7: Medium

Area of trapezoid (decompositon of areas)

<p>What is the area of the given trapezoid?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number or exact decimal. </highlight></p> <TrapezoidArea data-props='{ "rectangle": { "width": { "value": 8, "side": "bottom", "label": { "text": "8 cm", "show": true } }, "height": { "value": 12, "side": "left", "label": { "text": "12 cm", "show": true, "offsetX": 1 } }, "border_color": "black" }, "triangle": [ { "border_color": "black", "position": "left", "base": { "value": 4.2, "label": { "text": "4.2 cm", "show": true, "style": "capped" } }, "height": { "value": 12 }, "right_angle": { "show": false }, "partial_side": { "show": true } }, { "border_color": "black", "position": "right", "base": { "value": 4.2, "label": { "text": "4.2 cm", "show": true, "style": "capped" } }, "height": { "value": 12 }, "right_angle": { "show": false }, "partial_side": { "show": true } } ], "options": { "cell_size": 15, "padding": 3 }, "reverse": true}'></TrapezoidArea>

#3 of 7: Medium

Area of trapezoid (decompositon of areas)

<p>What is the area of the given trapezoid?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number or exact decimal. </highlight></p><TrapezoidArea data-props='{ "rectangle": { "width": { "value": 6, "side": "bottom", "label": { "text": "6 ft", "show": true } }, "height": { "value": 7, "side": "left", "label": { "text": "7 ft", "show": true } }, "border_color": "black" }, "triangle": [ { "border_color": "black", "position": "left", "base": { "value": 3, "label": { "text": "3 ft", "show": true, "style": "capped" } }, "height": { "value": 7 }, "right_angle": { "show": false }, "partial_side": { "show": true } }, { "border_color": "black", "position": "right", "base": { "value": 3, "label": { "text": "3 ft", "show": true, "style": "capped" } }, "height": { "value": 7 }, "right_angle": { "show": false }, "partial_side": { "show": true } } ], "options": { "cell_size": 20.5, "padding": 2 }, "reverse": true}'></TrapezoidArea>

#4 of 7: Medium

Area of trapezoid (decompositon of areas)

<p>What is the area of the given trapezoid?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number or exact decimal. </highlight></p> <TrapezoidArea data-props='{ "rectangle": { "width": { "value": 5.5, "side": "top", "label": { "text": "5.5 ft", "show": true } }, "height": { "value": 9, "side": "left", "label": { "text": "9 ft", "show": true, "offsetX": 1 } }, "border_color": "black" }, "triangle": [ { "border_color": "black", "position": "left", "base": { "value": 4, "label": { "text": "4 ft", "show": true, "style": "capped" } }, "height": { "value": 9 }, "right_angle": { "show": false }, "partial_side": { "show": true } }, { "border_color": "black", "position": "right", "base": { "value": 4, "label": { "text": "4 ft", "show": true, "style": "capped" } }, "height": { "value": 12 }, "right_angle": { "show": false }, "partial_side": { "show": true } } ], "options": { "cell_size": 15, "padding": 3 }, "reverse": false}'></TrapezoidArea>

#5 of 7: Spicy

Area of trapezoid (decompositon of areas)

<p>What is the area of the given trapezoid?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number or exact decimal. </highlight></p> <TrapezoidArea data-props='{ "rectangle": { "width": { "value": 16, "side": "bottom", "label": { "text": "16 in", "show": true } }, "height": { "value": 10, "side": "left", "label": { "text": "10 in", "show": true, "offsetX": 1 } }, "border_color": "black" }, "triangle": [ { "border_color": "black", "position": "left", "base": { "value": 4.5, "label": { "text": "4.5 in", "show": true, "style": "normal" } }, "height": { "value": 10 }, "right_angle": { "show": false }, "partial_side": { "show": true } }, { "border_color": "black", "position": "right", "base": { "value": 2.5, "label": { "text": "2.5 in", "show": true, "style": "normal", "offsetX": -3 } }, "height": { "value": 10 }, "right_angle": { "show": false }, "partial_side": { "show": true } } ], "options": { "cell_size": 10.8, "padding": 2.8 }, "reverse": true}'></TrapezoidArea>

#6 of 7: Spicy

Area of trapezoid (decompositon of areas)

<p>What is the area of the given trapezoid?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number or exact decimal. </highlight></p> <TrapezoidArea data-props='{ "reverse": false, "rectangle": { "width": { "value": 12.5, "side": "bottom", "label": { "text": "12.5 mm", "show": true, "style": "capped" } }, "height": { "value": 10, "side": "left", "label": { "text": "10 mm","offsetX":-3, "style": "capped", "show": true, "offsetX": -2 } }, "border_color": "black" }, "triangle": [ { "border_color": "black", "position": "right", "base": { "value": 6.4, "label": { "text": "6.4 mm", "show": true, "style": "capped" } }, "height": { "value": 10 }, "right_angle": { "show": false }, "partial_side": { "show": true } } ], "options": { "cell_size": 11, "padding": 5 }}'></TrapezoidArea>

#7 of 7: Spicy

Area of trapezoid (decompositon of areas)

<p>What is the area of the given trapezoid?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number or exact decimal. </highlight></p> <TrapezoidArea data-props='{ "reverse": true, "rectangle": { "width": { "value": 6.8, "side": "bottom", "label": { "text": "6.8 cm", "show": true, "style": "capped" } }, "height": { "value": 9, "side": "left", "label": { "text": "9 cm", "style": "capped", "show": true, "offsetX": -2 } }, "border_color": "black" }, "triangle": [ { "border_color": "black", "position": "right", "base": { "value": 4.5, "label": { "text": "4.5 cm", "show": true, "style": "capped" } }, "height": { "value": 9 }, "right_angle": { "show": false }, "partial_side": { "show": true } } ], "options": { "cell_size": 18, "padding": 2.5 }}'></TrapezoidArea>

In geometry, 6th Grade students are required to learn the concept of the area of a trapezoid using decomposition. To find the area, they need to decompose the trapezoid into triangles and rectangles. “Area of trapezoid practice problems” can help them to develop a solid understanding of this concept. 

 

For example: If a trapezoid is divided into three parts, where 1 is a rectangle with dimensions 7 ft and 6 ft,  and 2 are triangles with a base of 3 ft and height of 7 ft. Then the area of the rectangle is 7 * 6 = 42 ft^2. The area of each triangle is ½ * 3* 7 = 10.5 ft^2. Therefore,  the area of the trapezoid is 42+10.5+10.5 = 63 ft^2.

In geometry, 6th Grade students are required to learn the concept of the area of a trapezoid using decomposition. To find the area, they need to decompose the trapezoid into triangles and rectangles. “Area of trapezoid practice problems” can help them to develop a solid understanding of this concept. 

 

For example: If a trapezoid is divided into three parts, where 1 is a rectangle with dimensions 7 ft and 6 ft,  and 2 are triangles with a base of 3 ft and height of 7 ft. Then the area of the rectangle is 7 * 6 = 42 ft^2. The area of each triangle is ½ * 3* 7 = 10.5 ft^2. Therefore,  the area of the trapezoid is 42+10.5+10.5 = 63 ft^2.

In geometry, 6th Grade students are required to learn the concept of the area of a trapezoid using decomposition. To find the area, they need to decompose the trapezoid into triangles and rectangles. “Area of trapezoid practice problems” can help them to develop a solid understanding of this concept. 

 

For example...

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Grade 6
Geometry
6.G.A.1

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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.”