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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.
Solution
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.
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