Surveying the Field

Using the given land map, we can draw the

Since, PM = , PN = , PO = and PS = , we can calculate the base distances of the individual triangles and trapeziums.

So,

PM = m

MN = - = - = m

ON = - = - = m

OS = - = - = m

Now, finding the individual areas:

△PQM = × Base × Height = × × = m2

△PNL = × Base × Height = × × = m2

△SOT = × Base × Height = × × = m2

△SOR = × Base × Height = × × = m2

Trapezium QMOR = × h × (a+b) = × × (30+40) = m2

Trapezium LNOT = × h × (a+b) = × × (30+40) = m2

Thus, total area = 1400 + 1500 + 600 + 450 + 3850 + 2800 = m2