Question

The length and breadth of a rectangular piece of land are in the ratio 5:2 .If the total cost of fencing it at Rs12.5 per metre is 25000,find its length




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Answer 1

• Answer:
• (i) 12, 15 and 21
• Factor of 12=2×2×3
• Factor of 15=3×5
• Factor of 21=3×7
• HCF (12,15,21)=3
• LCM (12,15,21)=2×2×3×5×7=420
• (ii) 17, 23 and 29
• Factor of 17=1×17
• Factor of 23=1×23
• Factor of 29=1×29
• HCF (17,23,29)=1
• LCM (17,23,29)=1×17×23×29=11,339
• (iii) 8, 9 and 25
• Factor of 8=2×2×2×1
• Factor of 9=3×3×1
• Factor of 25=5×5×1
• HCF (8,9,25)=1
• LCM (8,9,25)=2×2×2×3×3×5×5=1,80

Answer 2

Answer:

The total cost of fencing = Rs.25000.

Rate of fencing = Rs.12.50 per m.

Perimeter or rectangular field = 25000/12.50 = 2000 m

Length of field is, say = 5x

Breadth of field is, say = 2x

2(5x+2x) = 2000, or

7x = 1000, or

x = 1000/7

So the field is 5000/7 m long and 2000/7 m broad.

Step-by-step explanation:

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