floral design on a floor is a made up of 16 times that are triangular side of a triangle Being 9 cm,28 cm and35 cm find the area of the floral design
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Step-by-step explanation:
For one triangular tile :
Let a = 9 cm, b = 28 cm and c = 35 cm
Now , s=12(a+b+c)=12(9+28+35)cm
=12×72cm=36cm
s−a=(36−9)cm=27cm
s−b=(36−28)cm=8cm
and s−c=(36−35)cm=1cm
Area of one tile =s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−−√
=36×27×8×1−−−−−−−−−−−−−√cm2
=9×4×9×3×4×2−−−−−−−−−−−−−−−−−√cm2
=2×3×4×4×9×9−−−−−−−−−−−−−−−−−√cm2=4×96–√cm2
=366–√cm2=36×2.45cm2approx.
=88.2cm2approx.
Therefore Area of 16 such tiles =(16×88.2)cm2
=1411.2cm2approx.
Cost of polishing @ 50 P per cm2=Rs(1411.2×50100)
=Rs705.60approx.
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