Solve For Missing Dimension Of A Parallelogram Given Area Quiz

<p>The parallelogram has an area of `24` `text{in}^2`.</p><p>What is the height (`h` `text{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": 20 }, "parallelogram": { "height": { "value": 6 }, "base": { "value": 4, "label": { "text": "`4&nbsp;text{in}`" } }, "right": { "label": { "text": " ", "offsetX": 0 } }, "angle": 63 }, "left_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "`h`" } }, "show_arc": true, "arc_position": "bottom" } }, "label_top": { "text": "`text(Area) = 24&nbsp;text(in)^2`" }, "debug": true}'></Parallelogram>

<p>The parallelogram has area of `55` `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": 15.5, "padding_bottom": 10 }, "parallelogram": { "height":{ "value": 5 }, "base": { "value": 11, "label": { "text": "`b`" } }, "right": { "label": { "text": " ", "offsetX": 0 } }, "angle": 62 }, "left_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "`5&nbsp;text{yd}`","offsetY":-5 } }, "show_arc": true, "arc_position": "bottom" } }, "label_top": { "text": "`text(Area) = 55 &nbsp text(yd)^2`" }, "debug": true}'></Parallelogram>

<p>The parallelogram has area of `75` `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": 12.5, "padding_right": 8, "padding_left": 8, "padding_bottom": 8 }, "parallelogram": { "height": { "value": 5 }, "base": { "value": 15, "line_color": "black", "label": { "text": "`15&nbsp;text(ft)`", "color": "black" } }, "left": { "label": { "text": "`7&nbsp;text(ft)`", "invert": true, "offsetY": -10, "offsetX": 0 } }, "angle": 80 }, "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) = 75 &nbsp text(ft)^2`" }}'></Parallelogram>

<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": 14, "padding_right": 10, "padding_bottom": 8 }, "parallelogram": { "height": { "value": 4 }, "base": { "value": 9, "line_color": "black", "label": { "text": "`9&nbsp; text(ft)`", "color": "black","offsetY":3 } }, "left": { "label": { "text": "`7&nbsp; text(ft)`", "invert": true, "offsetX": 0, "offsetY": -15 } }, "angle": 37.1 }, "right_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "h", "color": "black", "offsetX": 1,"offsetY":-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) = 36 &nbsp text(ft)^2`" }}'></Parallelogram>

<p>The parallelogram has area of `150` `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": 8.7, "padding_right": 40, "padding_bottom": 8 }, "parallelogram": { "height": { "value": 15 }, "base": { "value": 10, "line_color": "black", "label": { "text": "b", "color": "black" } }, "left": { "label": { "text": "`19&nbsp;text(mm)`", "invert": true, "offsetX": -15,"offsetY":-20 } }, "angle": 51.6 }, "right_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "`15&nbsp;text(mm)`", "color": "black", "offsetX": 0 } }, "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) = 150 &nbsp text(mm)^2`" }}'></Parallelogram>

<p>The parallelogram has area of `56` `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_right": 20, "padding_bottom": 6 }, "parallelogram": { "height": { "value": 8 }, "base": { "value": 7, "line_color": "black", "label": { "text": "b", "color": "black" } }, "left": { "label": { "text": "`9&nbsp;text(yd)`", "invert": true, "offsetX": -10, "offsetY": -10 } }, "angle": 62.7 }, "right_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "`8&nbsp;text(yd)`", "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) = 56 &nbsp text(yd)^2`" }}'></Parallelogram>

<p> A parallelogram has area of `49.5` `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": 15, "padding_right": 2, "padding_bottom": 13, "padding_left": 13 }, "parallelogram": { "height": { "value": 9.9 }, "base": { "value": 5, "line_color": "", "label": { "text": "`5&nbsp;text(in)`", "color": "black", "offsetX": -25, "offsetY": -20 } }, "left": { "label": { "text": "`12&nbsp;text(in)`", "invert": true, "offsetX": 20, "offsetY": -30 } }, "angle": 55.5 }, "right_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "h", "color": "black", "offsetX": 1, "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)=49.5&nbsp;text{in}^2`" }}'></Parallelogram>

<p> A parallelogram has area of `28.8` `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": 19, "padding": 1, "padding_left": 20, "padding_top": -30, "padding_bottom": 10 }, "parallelogram": { "height": { "value": 4.8 }, "base": { "value": 6, "line_color": "", "label": { "text": "b", "color": "black", "offsetX": -2,"offsetY":10 } }, "right": { "label": { "text": "`7&nbsp;text(yd)`", "offsetX": 2, "offsetY": 30 } }, "angle": 51.3 }, "left_exterior": { "right_triangle": { "height": { "line_type": "dashed", "line_color": "black", "label": { "text": "`4.8&nbsp;text(yd)`", "offsetY": 30, "offsetX": 13 } }, "show_arc": true, "arc_position": "bottom" } }, "label_top": { "text": "`text(Area) = 28.8 &nbsp text(yd)^2`" }, "rotation": "-90"}'></Parallelogram>