Question

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

Answer 1

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Here is your answer

Let the breadth is x m
so Length = x + 5m

Perimeter = 2(L + B)
$142 = 2(x + 5 + x) \\ 142 = 2(2x + 5) \\ 142 = 4x + 10 \\ 4x = 142 - 10 \\ 4x = 132 \\ x = \frac{132}{4} \\ x = 33$
So breadth = 33 m
Length = 33+ 5
= 38 m

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Answer 2

ANSWER IS

Let the breadth is x m
Hence length is x + 5 m
Perimeter = 142 m

As
Perimeter = 2(L + B)
$142 = 2(x + 5 + x) \\ \frac{142}{2} = (2x + 5) \\ 71 = 2x + 5\\ 2x = 71 - 5 \\ x = \frac{66}{2} \\ x = 33$
Therefore
Breadth is 33 m
Length is 33 + 5
= 38 m

Thanks