Solve For Missing Dimension Of A Parallelogram Given Area Problems

<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>

<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>

<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>

<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>

<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>

<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>

<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>