The following piece of land has straight boundaries on the east, west and south borders and follows a creek at the north.

The land has been divided into two sections to allow us to use the trapezoidal rule to approximate the area of the land.

Note: the diagram is not to scale.

a

Approximate Area $1$1 using one application of the trapezoidal rule.

b

Approximate Area $2$2 using one application of the trapezoidal rule.

c

Hence, find the approximate area of the piece of land using your answers to parts (a) and (b).

d

Is the actual area of the land greater than or less than this calculated area?

Greater than

A

Less than

B

Greater than

A

Less than

B

Easy

Approx 5 minutes

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performs calculations in relation to two-dimensional and three-dimensional figures