Question

a room is 17m long and 12 m broad .find the cost of carpeting the room with a carpet 85cm broad at the rate of rupees 120 per metre

Answer 1

Answer:

28800 Rs

Step-by-step explanation:

It is given that:

• Room is 17m long and 12m broad
• Carpet has a breadth of 85 cm .
• Cost per meter is 120 Rs.

Area of the room = 17*12 = $204\:m^2=204*10^4cm^2$.

Therefore, the length of the carpet must : $\frac{204*10^4}{85}=24000\:cm=240\:m$

Hence, the cost of carpeting the 240 meters = 240*120 = 28800 Rs

Answer 2

$\bf{\underline{Question:-}}$

a room is 17m long and 12 m broad .find the cost of carpeting the room with a carpet 85cm broad at the rate of rupees 120 per metre.

$\bf{\underline{Given:-}}$

• Length of room (L) is 17m
• width of room ( b ) is 12m
• cost of carpeting is 120/m
• A carpet is 85cm in breadth ( changing in cm into metre )

★ 85/100 = 0.85 m

$\bf{\underline{Find:-}}$

• cost of carpeting of room is ?

$\bf{\underline{Solution:-}}$

$\sf :→ Area\:of\:room = Length × Breadth$

$\sf :→ Area \:of\:room = 17 × 12$

$\sf :→ Area\:of\:room = 204m^2$

$\bf{\underline{Now:-}}$

• Length of carpet ( L ) = $\large\bf \frac{Area}{width\:of\: carpet}$

$\sf :→ Length\:of\:carpet = \dfrac{204}{0.85}$

$\sf :→ Length\:of\: carpet = \dfrac{204×100}{85}$

$\sf :→ Length\:of\: carpet = \dfrac{2400}{85}$

$\sf :→ Lenght\:of\: carpet = 240m$

$\bf{\underline{Therefore:-}}$

• Cost of carpeting = Lenght of carpet × cost per metre

→ Cost of carpeting = 240 × 120

→ cost of carpeting = 28800 ₹

$\bf{\underline{Hence:-}}$

• ⚔️ cost of carpeting = 28800 ₹