Question

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.

Answer 1

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 > $\frac{616}{2}$

x > 308

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