Question

Find the cost of cultivating a square field of side 34 m at the rate of 4.2 per square
metre. Also, find the cost of fencing it at the rate of 2.5 per metre.​

Answer 1

Answer:

Step-by-step explanation:

Given

Side of the square field = 34 m

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,-0.6){\bf\large 34\ m}\put(4.4,2){\bf\large 34\ m}\end{picture}$

We have to find the cost of cultivating this square field at at the rate of Rs 4.2/m².

Cost of cultivating the field = Rate/m² × Area

Area of the square field = a² , where a is the side of the square

Here, a = 34m

So, Area = (34)² = 1156 cm²

∴ Cost of cultivating the field = 4.2 × 1156 = $\underline{\underline{{ Rs 4855.20}}}$

Next we have to find the cost of fencing it at the rate of 2.5 /m

Cost of fencing = Perimeter× 2.5

Perimeter = 4a

Here as, a = 34m

Perimeter = 4×34 = 136 m

∴ Cost of fencing  = 136×2.5 = $\underline{\underline{{Rs 340}}}$