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A floral design on a floor is made up of 16 tiles which are tr

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A floral design on a floor is made up of $16$ tiles which are triangular, the sides of the triangle being $9 c m$ , $28 c m$ and $35 c m$ (see figure). Find the cost of polishing the tiles at the rate of $50 p$ per $c m^{2}$ .

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A floral design on a floor is made up of

16

tiles which are triangular, the sides of the triangle being

9 c m

28 c m

and

35 c m

(see figure). Find the cost of polishing the tiles at the rate of

50 p

per

c m^{2}

15 mins ago

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Text solutionVerified

Given:

\Rightarrow

a = 35 c m, b = 28 c m, c = 9 c m

\Rightarrow

Semi perimeter of tile

= \frac{a + b + c}{2}

\Rightarrow

Semi perimeter of tile

= \frac{35 + 28 + 9}{2} = 36 c m

\Rightarrow

Area of

Δ = s (s - a) (s - b) (s - c)

\Rightarrow

= 36 (36 - 35) (36 - 28) (36 - 9) = 36 \times 1 \times 8 \times 27

\Rightarrow

= 36 \times 2.45 = 88.2 c m^{2}

\Rightarrow

Area of total

16

tiles

= 16 \times 88.2 = 1411.2 c m^{2}

\Rightarrow

Cost of polishing per

c m^{2}

area

= 50 p

\Rightarrow

Cost of polishing

1411.2 c m^{2}

area

= R s . 50 \times 1411.2

= R s . 705.60

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Question Text	A floral design on a floor is made up of $16$ tiles which are triangular, the sides of the triangle being $9 c m$ , $28 c m$ and $35 c m$ (see figure). Find the cost of polishing the tiles at the rate of $50 p$ per $c m^{2}$ .
Answer Type	Text solution:1
Upvotes	150