The length of a rectangular plot exceeds its breadth by 5 meters. If the perimeter of the plot is 142 meters, find the length of the plot.

The correct answer is 38 meters

Let the breadth of the plot be x meters.
∴ The length of the plot = (x + 5) meters
Perimeter of the rectangular plot = 2 (length + breadth)
= 2 (x + (x + 5))
= 2 (x + x + 5)
= 2 (2x + 5)
= (4x + 10) meters
Since the perimeter = 142 meters
∴ Equation can be written as
4x + 10 = 142
∴ 4x = 132 or x = $\frac{132}{4}$ = 33 meters
Breadth = 33 meters and Length = 33 + 5 = 38 meters