The width of a rectangle is 2/3 of its length. If the perimeter of the rectangle is 540 m, find its length and breadth.
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✿ Solution ✿
Let's assume the length as x meters
So, the breadth as 2x / 3 meters
We know,
Perimeter of Rectangle
= 2(length + breadth)
According to Question,
Perimeter of Rectangle = 540 meters
2(x + 2x / 3) = 540
⇒ (3x + 2x) / 3 = 540 / 2
⇒ 5x / 3 = 270
⇒ 5x = 3(270)
⇒ 5x = 810
⇒ x = 810 / 5
⇒ x = 162
❊ Required Measurements ❊
✦ Length = x = 162m
✦ Breadth = 2x / 3 = 2(162) / 3 = 324 / 3
= 108m
Hence, the length and the breadth of the Rectangle is 162 meters and 108 meters respectively
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