Question

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

Answer 1

Let the length of a rectangular plot = x

and the breadth of a rectangular plot = y

According to the condition,

x = y + 5   ...(i)

and 2(x + y) = 142

⇒ x + y = `142/2 = 71`

⇒ x + y = 71      ...(ii)

Now, substitute the value of eq. (i) in eq (ii)

y + 5 + y = 71

⇒ 2y = 71 - 5

⇒ y = `66/2 = 33`

Now, put the value of y in eq. (i)

x = 33 + 5 = 38

∴ The length of rectangular plot is 38 m and breadth is 33 m.