The width of a rectangle is 38 centimeters. the perimeter is at least 692 centimeters. write an inequality that represents all possible values for the length of the rectangle. then solve the inequality.

Width of the reactangle = 38 cm

Minimum perimeter = 692 cm

Let the length of the rectangle be x cm

We know that,

Perimeter of rectangle = 2 * (length + width)

Since the perimeter should be atleast 692 cm. Therefore,

2 * (x + 38) > 692

2x + 76 > 692

2x > 692 - 76

2x > 616

x >

x > 308

Hence, the length of the rectangle should be more that 308 cms.

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step-by-step explanation: