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0 votes
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in Linear Equations by (56.3k points)

The length of a rectangular field is twice its breadth. If the perimeter of the field is 228 meters, find the dimensions of the field.

1 Answer

+1 vote
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Best answer

Let the breadth of the rectangle = x metres.

According to the question,

Length of the rectangle = 2x metres

Perimeter of a rectangle = 2 (length + breadth)

So, 2 (2x + x) = 228

⇒ 2 (3x) = 228

⇒ 6x = 228

Dividing both sides by 6, we get

⇒ 6x/6 = 228/6

⇒ x = 38

So, the breadth of the rectangle = x = 38 metres,

The length of the rectangle = 2x = 2(38) = 76 metres.

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