the sides of park are in ratio 4:3 if its area is 1728 m find the cost of fencing at the rate of rs 3 per metre
Answers
Answer:
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Step-by-step explanation:
let the sides of the park be 4x and 3x
Area of the park = 1728
lenght × breadth = 1728
4x × 3x = 1728
12xsq = 1728
xsq = 1728/12
x = root 144
x = 12
therefore
lenght and breadth = 2×2×3 = 12
hence,
lenght = 4×12=48
breadth = 3×12=36
perimeter = 2(48+36)
= 2×84= 168 m
cost of fencing = rs(168×30)
=rs5040
hope it helped you
Answer:
Solution:-
Let the length be 4x
and breadth be 3x
Area of a Rectangle = length × breadth
⇏2028 = 4x × 3x
⇏12x^2 = 2028
⇏x^2 = 2028/12
= 169
⇏x = √169
= 13
So, length = 4x = 4 × 13 = 52 m
breadth = 3x = 3 × 13 = 39 m
As fencing is done on boundary we have to find the perimeter of he field
⇏2 × ( l + b )
⇏2 × ( 52 + 39 )
⇏182 m
Cost of fencing per metre = Rs.3
Total cost = 182 × 3
= ₹546