A floral design on a floor is made up of 16 tiles which are triangular being 9 cm 28 cm and 35 cm find the cost of polishing the tiles at the rate of 50p per cm2.
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₹ 705.60
Step-by-step explanation:
Sides of a triangle are:
A – 9
B-28
C-35
S = a+ b+ c/2
=9+28+35/2
=72/2 =36 cm
Area of triangle = √s(s-a)(s-b)(s-c)
=√ 36(36-9)(36-28)(36-35) cm²
=√36*27*8*1 cm²
=3*2*3*2√3*2 cm²
=36√6 cm²
=(36*2.45) cm ²
=88.2 cm² (apx)
Area of 16 triangles
= (16*88.2) cm²
=1411.2 cm²
Rate of polishing = ₹ 0.5 /cm²
=(0.5*1411.2)=₹ 705.60
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