<p><strong>Solutions to this question by accurate drawing will not be accepted. </strong><br>The diagram above shows a trapezium $ABCD$ in which $AB$ is parallel to $CD$.<br>The points $A$ and $C$ lie on the $x$-axis and the points $B$ and $D$ lie on the $y$-axis.<br>The equation of $AB$ is $2y=x+8$ and the coordinates of $A$, $B$ and $C$ are $\left( -8,0 \right)$, $\left( 0,4 \right)$ and $\left( 2,0 \right)$ respectively.</p>
<div class="content-block content-block--columns"><div class="question-columns question-columns--2" data-layout="2"><div class="question-column" style="flex: 1; align-self: flex-start;"><ol class="abc-list"><li><div class="list-item-paragraph">Show that the coordinate of $D$ is $\left( 0,-1 \right)$.</div></li><li><div class="list-item-paragraph">Find the equation of the perpendicular bisector of $CD$.</div></li><li><div class="list-item-paragraph">If&nbsp;$N$ is a point on $AB$ which is equidistant from $C$ and $D$, find the coordinates of $N$.</div></li><li><div class="list-item-paragraph">Find the area of $ABCD$.</div></li><li><div class="list-item-paragraph">Hence, find the perpendicular distance from $A$ to $CD$ produced.<br>Correct your answer to $3$ significant figures.</div></li></ol></div><div class="question-column" style="flex: 1; align-self: flex-start;"><div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1768277738124-umcza4dacad.png" style="max-width: min(300px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div></div></div></div>

**Solutions to this question by accurate drawing will not be accepted. **
The diagram above shows a trapezium $ABCD$ in which $AB$ is parallel to $CD$.
The points $A$ and $C$ lie on the $x$-axis and the points $B$ and $D$ lie on the $y$-axis.
The equation of $AB$ is $2y=x+8$ and the coordinates of $A$, $B$ and $C$ are $\left( -8,0 \right)$, $\left( 0,4 \right)$ and $\left( 2,0 \right)$ respectively.

Spatial Data Analytics: Calculating Parcel Area from GPS Coordinates

Spatial Data Analytics: Calculating Parcel Area from GPS Coordinates

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