Question 82

In the following figure, ABC is an equilateral triangle and BCDE is a square whose each side is 8 cm long. Find the area of pentagon ABDEC in square cm.

Solution

side of square = 8 cm

As the side of square is coinciding with side of equilateral triangle so side of equilateral teiangle = 8 cm

Area of equilateral triangle = (√3/4 ) side^2

Area of square = side ^2

Total area = area of square + area of traingle

= ((√3/4) x64) + 64

=16(√3+4) sqr cm

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