There is a rectangular plot, reserved for the construction of a school . The length and breadth of the plot are in the ratio 8:5 . At the rate of ₹ 100 per metres , it will cost ₹ 52000 to fence the plot . What are the dimensions of the plot ?
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Answer:
Length is 160m and Breadth is 100m
Step-by-step explanation:
First, we need to find the perimeter of the plot
Total cost of fencing = Rs 52000
Cost per meter = Rs 100
Therefore perimeter of plot
= 52000/100
= 520 m
Let the length and breadth be 8x m and 5x m respectively
2 ( 8x + 5x ) = 520
2 × 13x = 520
26x = 520
x = 520/26 = 20
Length = 8x = 8 × 20 = 160 m
Breadth = 5x = 5 × 20 = 100m
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