Solve For Missing Dimension Of A Parallelogram Given Area Problems

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#1 of 7: Mild

Solve for missing dimension of a parallelogram given area

<p>The parallelogram has area of `45` `text{ft}^2`.</p><p>What is the base (`b` ft) of the parallelogram?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</p><Parallelogram data-props='{ "options": { "cell_size": 17, "padding_bottom": 10 }, "parallelogram": { "height":{ "value": 5 }, "base": { "value": 9, "label": { "text": "`b`" } }, "right": { "label": { "text": " ", "offsetX": 0 } }, "angle": 59 }, "left_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "`5&nbsp;text{ft}`" } }, "show_arc": true, "arc_position": "bottom" } }, "label_top": { "text": "`text(Area) = 45 &nbsp text(ft)^2`" }, "debug": true}'></Parallelogram>

#2 of 7: Medium

Solve for missing dimension of a parallelogram given area

<p>The parallelogram has area of `300` `text{mm}^2`.</p><p>What is the base (`b` mm) of the parallelogram?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</p><Parallelogram data-props='{ "options": { "cell_size": 5.3, "padding_right": 50, "padding_left": 20, "padding_bottom": 16 }, "parallelogram": { "height": { "value": 15 }, "base": { "value": 20, "line_color": "black", "label": { "text": "b", "color": "black" } }, "left": { "label": { "text": "`18&nbsp;text(mm)`", "invert": true, "offsetX": -15, "offsetY": -15 } }, "angle": 55.9 }, "right_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "`15&nbsp;text(mm)`", "color": "black", "offsetX": 1 } }, "base": { "line_type": "dashed", "line_color": "gray" }, "show_arc": true, "arc_position": "bottom", "reverse_arc": "true", "arc_background_color": "", "arc_border_color": "black" } }, "label_top": { "text": "`text(Area) = 300 &nbsp text(mm)^2`" }}'></Parallelogram>

#3 of 7: Medium

Solve for missing dimension of a parallelogram given area

<p>The parallelogram has area of `36` `text{ft}^2`.</p><p>What is the height (`h` ft) of the parallelogram?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</p><Parallelogram data-props='{ "options": { "cell_size": 13.5, "padding_right": 15, "padding_bottom": 6 }, "parallelogram": { "height": { "value": 3 }, "base": { "value": 12, "line_color": "black", "label": { "text": "`12&nbsp;text(ft)`", "color": "black","offsetY":2 } }, "left": { "label": { "text": "`5&nbsp;text(ft)`", "invert": true, "offsetX": 2, "offsetY": -15 } }, "angle": 45.8 }, "right_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "h", "color": "black", "offsetX": 3 } }, "base": { "line_type": "dashed", "line_color": "gray" }, "show_arc": true, "arc_position": "bottom", "reverse_arc": "true", "arc_background_color": "", "arc_border_color": "black" } }, "label_top": { "text": "`text(Area) = 36 &nbsp text(ft)^2`" }}'></Parallelogram>

#4 of 7: Medium

Solve for missing dimension of a parallelogram given area

<p>The parallelogram has area of `63` `text{in}^2`.</p><p>What is the height (`h` in) of the parallelogram?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</p><Parallelogram data-props='{ "options": { "cell_size": 13.5, "padding_right": 15, "padding_bottom": 7 }, "parallelogram": { "height": { "value": 9 }, "base": { "value": 7, "line_color": "black", "label": { "text": "`7&nbsp;text(in)`", "color": "black","offsetY":3 } }, "left": { "label": { "text": "`12&nbsp;text(in)`", "invert": true, "offsetX": -5,"offsetY":-20 } }, "angle": 48.5 }, "right_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "h", "color": "black", "offsetX": 5 } }, "base": { "line_type": "dashed", "line_color": "gray" }, "show_arc": true, "arc_position": "bottom", "reverse_arc": "true", "arc_background_color": "", "arc_border_color": "black" } }, "label_top": { "text": "`text(Area)=63&nbsp;text{in}^2`" }}'></Parallelogram>

#5 of 7: Spicy

Solve for missing dimension of a parallelogram given area

<p> A parallelogram has area of `52.2` `text{mm}^2`.</p><p> What is the base (`b` mm) of the parallelogram?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</p><Parallelogram data-props='{ "options": { "cell_size": 14, "padding_left": 10, "padding_bottom": 8, "padding_top": -10, "padding": 1.5 }, "parallelogram": { "height": { "value": 6 }, "base": { "value": 8.7, "line_color": "", "label": { "text": "b", "color": "black", "offsetX": -2,"offsetY":15 } }, "right": { "label": { "text": "`10&nbsp;text(mm)`", "offsetX": 10, "offsetY": 30 } }, "angle": 60 }, "left_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "`6&nbsp;text(mm)`", "offsetY": 30, "offsetX": 15 } }, "show_arc": true, "arc_position": "bottom" } }, "label_top": { "text": "`text(Area) = 52.2 &nbsp text(mm)^2`" }, "rotation": "-90"}'></Parallelogram>

#6 of 7: Spicy

Solve for missing dimension of a parallelogram given area

<p> A parallelogram has area of `64.4` `text{cm}^2`.</p><p> What is the height (`h` cm) of the parallelogram?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</p><Parallelogram data-props='{ "options": { "cell_size": 14.5, "padding_left": 18, "padding_right": 2, "padding_bottom": 5 }, "parallelogram": { "height": { "value": 9.2 }, "base": { "value": 7, "line_color": "", "label": { "text": "`7&nbsp;text(cm)`", "color": "black", "offsetX": -2,"offsetY":15 } }, "right": { "label": { "text": "`11&nbsp;text(cm)`", "offsetX": 10, "offsetY": 30 } }, "angle": 59 }, "left_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "h", "offsetY": 30 } }, "show_arc": true, "arc_position": "bottom" } }, "label_top": { "text": "`text(Area) = 64.4 &nbsp text(cm)^2`" }, "rotation": "-90"}'></Parallelogram>

#7 of 7: Spicy

Solve for missing dimension of a parallelogram given area

<p> A parallelogram has area of `15.3` `text{yd}^2`.</p> <p> What is the base (`b` yd) of the parallelogram?</br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal.</p><Parallelogram data-props='{ "options": { "cell_size": 17, "padding": 3,"padding_bottom": -30,"padding_top": -50 }, "parallelogram": { "height": { "value": 3 }, "base": { "value": 5.1, "line_color": "", "label": { "text": "b", "color": "black", "offsetX": -11.5, "offsetY": -10 } }, "left": { "label": { "text": "`6&nbsp;text(yd)`", "invert": true, "offsetX": 25, "offsetY": -20 } }, "angle": 30.3 }, "right_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "`3&nbsp;text(yd)`", "color": "black", "offsetX": -5, "offsetY": -10 } }, "base": { "line_type": "dashed", "line_color": "gray" }, "show_arc": true, "arc_position": "bottom", "reverse_arc": "true", "arc_background_color": "", "arc_border_color": "black" } }, "rotation": "90", "label_top": { "text": "`text(Area) = 15.3 &nbsp text(yd)^2`" }}'></Parallelogram>

In 6th Grade Geometry, students should learn the skill of finding the missing dimensions of a parallelogram when its area is given. “Solve for missing dimension of a parallelogram given area Practice Problem” will gain confidence in their ability to solve geometric problems and develop critical thinking skills. 

 

For example, if the area of the parallelogram is 24 square units and the base is 6 units, then A=bh becomes 24=6h, which simplifies to 4=h by dividing both sides by 6. Therefore, the height of the parallelogram is 4 units.

In 6th Grade Geometry, students should learn the skill of finding the missing dimensions of a parallelogram when its area is given. “Solve for missing dimension of a parallelogram given area Practice Problem” will gain confidence in their ability to solve geometric problems and develop critical thinking skills. 

 

For example, if the area of the parallelogram is 24 square units and the base is 6 units, then A=bh becomes 24=6h, which simplifies to 4=h by dividing both sides by 6. Therefore, the height of the parallelogram is 4 units.

In 6th Grade Geometry, students should learn the skill of finding the missing dimensions of a parallelogram when its area is given. “Solve for missing dimension of a parallelogram given area Practice Problem” will gain confidence in their ability to solve geometric problems and d...

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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.”