a polygon that can be divided into a triangle and a trapezium . the height of the triangle is sixty cm and the base is 11 cm . the hypotenuse of the triangle is one of the parallel sided of the trapezium , which is not given. another parallel side is 26 cm and the height of the trapezium is 18 cm , calculate the area of the polygon .
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the length of the hypotenuse line will be=
square root of [11^2 + 60^2]
= square root of [121+3600]
= square root of [3,721]
= 61 cm
therefore:
the area of polygon = area of triangle + area of trapezium
area of triangle= 1/2*base*height
=1/2*60*11 = 330 cm2
and
area of trapezium= 1/2*(sum of parallel sides)*height
=1/2*(61+26)*18
=783 cm2
therefore:
area of the polygon = 330cm2+783cm2
=1113cm2
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