Question

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

Answer 1

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Answer 2

Answers:

• ★ And the length = ( 33 + 5 ) metres = 38 metres

• ★ Hence, length = 38 metres and breadth= 33 metres

Step-by-step explanation:

★ Given :

• The length of a rectangular plot exceeds its breadth by 5 meters.

• If the perimeter of the plot be 142 m

★ To Find :

• find the dimensions of the plot

★ Solution :

We know that,

• Perimeter of the rectangle=2 (length + breadth)

let the breath of the plot be x metres

:
`\implies` Then, the length = ( x + 5 ) metres.

∴ Perimeter = 2 ( length + breadth )

:
`\implies` = 2 ( x + 5 + x ) metres = ( 4 x + 10 ) metres

:
`\implies` ∴ 4 x + 10 = 142

:
`\implies` 4 x = 132

:
`\implies` x = 132 / 4 = 33

:
`\implies` Thus, breath = 33 metres

:
`\implies` And the length = ( 33 + 5 ) metres = 38 metres

:
`\implies` hence, length = 38 metres and breadth = 33 metres

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