The pentagon ABCDE in the figure is made of a rectangle ABCE (8 cm by 6 cm) and a triangle ECD. The height of D above EC is 3 cm. Find the area of the pentagon in cm².

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NumericalArea of Polygon by Splitting into Triangles

Similar Questions

ABCDEF is a hexagon with AB = CD = DE = FA = 10 cm and BC = FE = 12 cm. The diagonal AD is 24 cm, and BC and FE are each 8 cm away from AD (see figure). Find the area of the hexagon in two ways: (i) by splitting it into two trapeziums along AD, (ii) by splitting it into rectangle BCEF and two triangles ABF and CDE.

TextArea of TrapeziumArea of Polygon by Splitting into Triangles

A surveyor measures a field ABCDE using a baseline AD = 18 m (see figure). On the right of AD: BP = 6 m with AP = 5 m, and CQ = 8 m with AQ = 12 m. On the left: ER = 8 m with AR = 10 m. All offsets are perpendicular to AD. Find the area of the field in m².

Numerical