Question

A 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 (see Fig. 12.18). Find the cost of polishing the tiles at the rate of 50p per cm?


28cm 9cm 55cm 9cm 28cm​

Answer 1

Answer:

here is the answer

Step-by-step explanation:

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Answer 2

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Given:

⇒a=35cm,b=28cm,c=9cm

$⇒Semi \: perimeter \: of \: tile = \frac{ a+b+c}{2}$

$⇒ \frac{35+28+9}{2}$

=36cm

$⇒Area \: of \: Δ=\sqrt{ s(s−a)(s−b)(s−c)}$

$⇒= \sqrt{36(36−35)(36−28)(36−9)} \\ = \sqrt{36×1×8×27}$

$⇒=36×2.45=88.2 {cm}^{2}$

⇒Area of total 16 tiles =

$16×88.2=1411.2 \: { cm}^{2}$

$⇒Cost \: of \: polishing \: per \: {cm}^{2}$

area =50p

$⇒Cost \: of \: polishing \: 1411.2{cm }^{2}$

area =Rs. 50×1411.2 =Rs. 705.60

Hope it will helpful for you.