Maharashtra State BoardSSC (English Medium) 7th Standard
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The length of a rectangle is 1 cm more than twice its breadth. If the perimeter of the rectangle is 50 cm, find its length. - Mathematics

Sum

The length of a rectangle is 1 cm more than twice its breadth. If the perimeter of the rectangle is 50 cm, find its length.

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Solution

Let the breadth of the rectangle be x cm.
Then the length of the rectangle will be (2x +1)cm.
2 × length + 2 × breadth = perimeter of rectangle

2 (2x + 1) + 2x = 50

∴ 4x + 2 + 2x = 50

∴ 6x + 2 = 50

∴ 6x = 50 - 2 = 48

∴ x = 8

Breadth of rectangle is 8 cm.

Length of the rectangle = 2x + 1 = 2 × 8 + 1

∴ Length of rectangle = 17 cm.

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