If the area of a rectangular plot is 144 sq. m and its length is 16 m. Find the breadth of the plot and the cost of fencing it at the rate of ₹ 60 per metre.

Given:

Area of rectangular plot = 144 sq. m

Length = 16 m

Rate of fencing = ₹ 60 per metre

Area of rectangle = length × breadth

⇒ Breadth = $\dfrac{\text{Area}}{\text{Length}}$

= $\dfrac{144}{16}$

= 9 m

Perimeter of rectangle = 2(length + breadth)

= 2(16 + 9) m

= 2 × 25 m

= 50 m

Cost of fencing = Perimeter × Rate

= 50 × 60

= ₹ 3000

Hence, the breadth of the plot is 9 m and the cost of fencing is ₹ 3000.