Math, asked by mithuJAAT1, 11 months ago

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?

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Answers

Answered by Anonymous
34

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

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Answered by mnithya3011
15

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

Hope it helps

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