# ABCDE is a pentag

Given: ABCDE is a pentagon of which side BC is parallel to diagonal AD, EP is perpendicular on BC and EP intersects AD at the point Q. BC = 7 cm, AD = 13 cm, PE = 9 cm

Also,

and PQ + EQ = PE

4 + EQ = 9

EQ = 5 cm

Now,

Area of pentagon ABCDE = area(ΔAED) + area(trapezium ABCD)

Now, we know

Area of trapezium sum of parallel sides × Height

area(trapezium ABCD)

Also,

Area of triangle

area(ABCDE) = 40 + 32.5 = 72.5 cm2

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