The sketch depicts field ABCDE. The edge lengths and dotted interior lines are labelled as follows: $AB = 100$m, $BC = 170$m, $DE$ and $EA$ are also indicated, with $EA = 50$m. Within the field, dashed segments show $AD = 120$m and $BD = 150$m. Right-angle symbols appear at A and D. A north arrow points upwards. The diagram is NOT TO SCALE.
(a)[4]
Calculate the perimeter of field ABCDE.
(b)[4]
Calculate the angle $ABD$.
(c(i))[2]
Calculate the angle $CBD$.
(c(ii))[2]
Find the bearing of D from point B.
(d)[4]
Calculate the area for field ABCDE. Give your answer in hectares. $[1\ \text{hectare} = 10000\,\text{m}^2]$
Worked solution & mark scheme
This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: “530 ” …