Question

14) The length of a rectangle is twice its breadth. If the perimeter is 228m, find its length and breadth

Answer 1

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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