Question

The length and breath of a rectangular field
are in the ratio 3:2. If the area of the field
is 3456m? Find the cost of fencing the field
at Rs. 2.50 per m²
​

Answer 1

let length be 3x and breadth be 2x

area = 3456 m²

length ×breadth = 3456

3x*2x = 3456

6x²=3456

x²= 576

x= 24

so, length = 3x = 3×24 = 72m

breadth = 2x= 2×24 = 48m

cost of fencing at 1m² = 2.50 rs

cost of fencing at 3456m² = 2.50×3456

= 5×1728 = rs 8640

Answer 2

Ratio of length and breadth of a rectangular field = 3:2

So let the length be 3x and breadth be 2x

Area of the field = 3456 sq.m

Length * Breadth = 3456

3x * 2x = 3456

6x² = 3456

x² = 3456/6

x² = 576

x = √576

x = 24

Hence Length of the rectangular field = 3x = 3(24) = 72m

Breadth of the rectangular field = 2x = 2(24) = 48m

Length of the fence of the field = Perimeter of the field

=> Perimeter of the rectangular field = 2(Length + Breadth)

= 2(72 + 48)

= 2(120)

= 240m

Therefore length of the fence of the field = 240m

Cost of fencing the field per m = Rs.2.5

Cost of fencing the rectangular field = Length of the fence of the field *

Cost of fencing the field per m

= 240 * 2.5

= Rs. 600

ANSWER = Rs. 600