the length and the breadth of a field are in the ratio 3 ratio 2 the cost of levelling and turfing the field at the rate of rupees 1.25 per square metre is rupees 1470 find the cost of surrounding the field with a friends at the rate of rupees 2.50 per metre
Answers
Answer:
Step-by-step explanation:
Let common multiple be a
Area of field = 3a X 2a
=6a square
6a square X 1.25 = 1470
a square = 1470/6 x 1.25
a square = 196
a = 14
Lenght of field = 14*3 = 42
Breath of field = 14*2 = 28
Perimeter of field = 2(l+b)
2(42+28)= 2*70=140
140*2.50= 350/-
Step-by-step explanation:
area of the field = (1470×1.25) = 1837.5 m²
Let the common factor be x
therefore, length = 3x and breadth = 2x
now, 3x × 2x = 1837.5
》6x² = 1837.5
》x² = 1837.5 ÷ 6
》x² = 306.25
》x = 17.5
therefore, length = 3 × 17.5 = 52.5 m
breadth = 2 × 17.5 = 35 m
therefore, perimeter of the field = 2(52.5+35)m
= 175 m
so cost of putting fences = Rs.( 175×2.5)= Rs. 437.5
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