Panting

If the base of the triangle is 2 3/4 meters & and the altitude is 3 2/3 meters, then what is the cost of panting on both sides at ₹3 1/2 per sq.m.?

Correct answer:

c =  35 ⁷⁄₂₄ = 847/24 R

Step-by-step explanation:

$$\begin{gathered} a=2\frac{3}{4}=2+\frac{3}{4}=\frac{2\cdot 4+3}{4}=\frac{8+3}{4}=\frac{11}{4}=2.75\text{m} \\ h=3\frac{2}{3}=3+\frac{2}{3}=\frac{3\cdot 3+2}{3}=\frac{9+2}{3}=\frac{11}{3}\doteq 3.6667\text{m} \\ S=\frac{a\cdot h}{2}=\frac{\frac{11}{4}\cdot \frac{11}{3}}{2}=\frac{121}{24}\doteq 5.0417{\text{m}}^2 \\ r=3\frac{1}{2}=3+\frac{1}{2}=\frac{3\cdot 2+1}{2}=\frac{6+1}{2}=\frac{7}{2}=3.5{\text{R/m}}^2 \\ n=2 \\ c=n\cdot r\cdot S=2\cdot \frac{7}{2}\cdot \frac{121}{24}=\frac{847}{24}\text{R}=35\frac{7}{24}\text{R}=35.2917\text{R} \end{gathered}$$

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