The area of a rectangular plot is 308 sq m and its breadth is 11m. Find the length of the plot and the cost of fencing at the rate of Rs. 7.50 per metre.
Answers
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Given :-
Area of rectangular plot = 308 m²
breadth (b) = 11 m
Cost of fencing on the 1 metre land of this rectangular plot is 7.50 Rs.
Have To Find Out :-
length of this rectangular plot and the cost of fencing at the rate of 7.50 Rupees/metre.
Using Formulas :-
Area of rectangle = length × breadth
perimeter of rectangle=2×(length+breadth)
Solution :-
Area of rectangular plot = 308 m²
length × 11 = 308
length × 11 = 11 × 28
length = 28 metre
Now ,
perimeter of rectangular plot
= 2(length + breadth)
= 2(28 + 11)
= 2 × 39
= 78 metre
Cost of fencing on the 1 metre land = 7.50 Rs
then ,
the cost of fencing on the 78 metre land of this rectangular plot
= 78 × 7.50
= 39 × 2 × 7.50
= 39 × 15
= 585 metre
Result :-
length of this rectangular plot = 28 m
The cost of fencing on this rectangular plot is 585 rupees.