Question

❒Moderators
❒Brainly Stars
❒Other Best Users

${\large{\bf{\pink{\underline{\underline{QUESTION :}}}}}}$
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 . Find the cost of polishing the tiles at the rate of 50p per cm .

No Spams Please.​

Answer 1

Given:

⇒a=35cm,b=28cm,c=9cm

_________________________

solution:

⇒Semi perimeter of tile 

$\sf\red{ = \frac{ a + b + c}{2} }$

_________________________

⇒Semi perimeter of tile 

$\sf\red{ = \frac{35 + 28 + 9}{2} } = 36c$

_________________________

⇒Area of Δ

$\sf\red{ = \sqrt{s(s - a)(s - b)(s - c)} }$

$\sf\red{⇒ = \sqrt{36(36 - 35)(36 - 28)(36 - 9)} } = \sqrt{36 \times 1 \times 8 \times 27}$

$⇒ = 36 \times 2.45 = 88.2 {cm}^{2}$

_________________________

⇒Area of total 16 tiles

$\sf\red{ = 16 \times 88.2 = 1411.2 {cm}^{2} }$

⇒Cost of polishing per cm2 area =50p

⇒Cost of polishing 1411.2cm2 area

$\sf\red{ =Rs. 50×1411.2 =Rs. 705.60}$

_________________________