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in Perimeter and Area of Plane Figures by (48.6k points)
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The sides of a rectangular park are in the ratio 4:3. If its area is 1728 m2, find the cost of fencing it at ₹ 30 per meter.

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Let the length of the field be 4x m

Then, its breadth = 3x

∴area of the rectangular park = ((4x) × (3x)) = 12xm2

But, area = 1728m2 (from the question)

∴12x= 1728

= x2 = 1728/12

= x2 = 144

= x = √144

= x = 12

∴length = (4 × 12) = 48m, breadth = 3 × 12 = 36m

∴perimeter of the field = 2(l + b) units

= 2 (48 + 36)

= 2 (84)

= 168 m

∴the cost of fencing = ₹ (168 × 30)

= ₹ 5040

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