Question

find the cost of fencing a rectangular field of dimensions 46 m by 24 M at the rate of 3 per metre find the cost of levelling the field at the rate of 6 per square metre

Answer 1

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Answer 2

$\textbf{\underline{Answer :-}}$

The Cost of Fencing is Rs.420

The Cost of levelling is Rs.6624

$\textbf{\underline{Explanation :- }}$

$\textsf{\underline{Given :}}$

Dimensions of the Rectangle = 46 m by 24 m

Rate of Fencing = 3 per metre

Rate of levelling = 6 per square metre

$\textsf{\underline{To find :}}$

The cost of Fencing and levelling the Rectangle.

$\textsf{\underline{Solution :}}$

To find the cost of levelling we need to find the Perimeter.

Perimeter of Rectangle =

$\tt{\Rightarrow2(l + b)}$

$\tt{\Rightarrow2(46 + 24)}$

$\tt{\Rightarrow92 + 48}$

$\tt{\Rightarrow140}$

Perimeter =

$\tt{140 \: m}$

Cost of levelling =

$\tt{\Rightarrow140 \times 3}$

$\tt{\Rightarrow420}$

Cost of levelling is Rs.420

To get the cost of levelling we need to find the area of the Rectangle.

$\tt{\Rightarrow \: l \times b}$

$\tt{\Rightarrow46 \times 24}$

$\tt{\Rightarrow1104}$

Area of the Rectangle is 1104 sq.m

Cost of levelling =

$\tt{\Rightarrow1104 \times 6}$

$\tt{\Rightarrow6624}$

Cost of levelling is Rs.6624

$\therefore$The Cost of Fencing is Rs.420

$\therefore$ The Cost of levelling is Rs.6624