Question

there is a slide in a park one of its side walls is painted red with the message dogs are not allowed in the park if the side of the wall are 6m,8m and 10 M find the cost of painting in red at the rate of 10 rupees per metre

Answer 1

-нєу мαтє αѕнυ нєяє
нσρє уσυ gєт уσυ αηѕωєя
Ғᴏʟʟᴏᴡ ᴍᴇ ᴀɴᴅ ᴍᴀʀᴋ ᴍᴇ ᴀs ʙʀᴀɪɴʟɪᴇsᴛ

Answer 2

$\huge\mathfrak\blue{\underline{\underline{Solution :-}}}$

For finding area of the wall, we have

2s = Perimeter of the wall = AB + BC + CA, where c = AB, a = BC and b = CA.

2s = 8m + 10m + 6m

2s = 24m

s = 12m.

Then, area of a triangular wall ABC,

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

$\implies$ $\sf\sqrt{12(12-10)(12-6)(12-8)m^2}$

, where a = 10m , b = 6m and c = 8m.

$\implies$ $\sf\sqrt{12×2×6×4m^2}$

$\implies$ $\sf\sqrt{6×2×2×6×4 m^2}$

$\implies$$\sf{(6×2×2)}$ $\sf{m}^{2}$

24 m².

So, the cost of painting in red at the rate of ₹10 per m².

= ₹10 × 24

$\huge\red{\boxed{\boxed{Rs.240}}}$