Question

The area of a rectangular plot is 528 m². The length of the plot (in metres) is one more than twice the breadth. Find the length and breadth of the plot. Also, find the cost of levelling the plot at the rate of ₹ 80 per square metre.

Answer 1

Let Breadth = b

Length = 2b + 1

Area of Rectangular Plot = length × breadth

528 m² = (2b + 1) × b

528 m² = 2b² + b

2b² + b − 528 = 0

2b² + 33b − 32b − 528 = 0

b(2b + 33) − 16(2b + 33) = 0

(b − 16)(2b + 33) = 0

Therefore, b − 16 = 0

2b + 33 = 0

b = 16 or b = `(−33)/2` (not possible)

So, breadth = b = 16 m

Length = 2b + 1

= 2 × 16 + 1

= 33 m

Length = 33 m, Breadth = 16 m