Question

The length of a rectangular plot exceeds its breadth by 5 metre. If the perimeter of the plot is 142 metres, find the length and the breadth of the plot.
Step by Step explanation Please

Answer 1

Answer:

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Answer 2

❍ Let's consider that, the breadth of the rectangular plot is x and length is (x + 5) respectively.

To calculate the Perimeter of a rectangle, formula is given by :

• Perimeter = 2 (Length + Breadth)

Substituting the values in the formula :

⇒ 142 = 2 (x + 5 + x)

⇒ 142/2 = 2x + 5

⇒ 71 = 2x + 5

⇒ 71 - 5 = 2x

⇒ 66 = 2x

⇒ x = 66/2

⇒ x = 33

Hence,

• Length of the plot = (x + 5) = 38 metres
• Breadth of the plot = x = 33 metres

•°• The Length and Breadth of the plot are 38 m & 33 m.