floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm and 35 cm Find the cost of polishing the tiles at the rate of 50p per cm?
Answers
Answer:
⇒ Rs. 705.45
Step-by-step explanation:
Lengths of the sides of the triangular tile are 28cm, 9 cm and 35 cm.
Let s the semi-perimeter of a tile. Then,
⇒ s = 28+9+35/2 cm
⇒ s = 36 cm
Therefore,
⇒ Area of one tile = √36 ( 36 - 28 ) ( 36 - 9 ) ( 36 - 35 )
⇒ 36√6 cm²
So, Area of 16 tiles = 16 × 36√6 cm²
⇒ 576√6 cm²
Hence, cost of polishing the tiles at the rate of 50 paise per cm² :
⇒ Rs. 576√6 × 1/2
⇒ Rs. 705.45
Answer:
₹ 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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