The scale diagram depicts a play area, $ABCDE$.
The scale means 1 centimetre represents 3 metres.
The figure marks points $A, B, C, D, E$, with a dashed perpendicular from $D$ to $EC$ labelled $h$, and a right angle shown at the base.
(a)[2]
Determine the true value of $h$ in metres.
(b)[3]
Determine the actual area of triangle $CDE$.
(c)[2]
With only a straight edge and compasses, construct the route. Include every construction arc you draw.
(d(i))[2]
Find the circumference of the pool.
(d(ii))[2]
Work out the area of the pool.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accept any response from $10.8$ up to $12$.” …