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------------------------------------------------ The length and width of a rectangle are consecutive odd integers. The perimeter of the rectangle is 120 meters.

Find the length and width of the rectangle.

Answer :

Final answer:

The length of the rectangle is 29 meters and the width is 31 meters.


Explanation:

Let's assume that the length of the rectangle is represented by x. Since the length and width are consecutive odd integers, the width can be represented as x + 2.

The perimeter of a rectangle is given by the formula: P = 2(l + w). Substituting the values, we have: 120 = 2(x + x + 2).

Simplifying the equation: 120 = 4x + 4.

Combining like terms: 4x = 116.

Dividing both sides by 4: x = 29.

So, the length of the rectangle is 29 meters and the width is 31 meters.


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