The length of the rectangle is 5 cm longer than the width. What width should a rectangle have

The length of the rectangle is 5 cm longer than the width. What width should a rectangle have so that its area is more than 36 cm2

This problem can be conveniently solved through inequality. Let x be the width of the rectangle. Therefore, since it is known that its length is 5 cm greater than its width, it means that it is x + 5 cm.

Find the area of a rectangle as the product of length and width:

x * (x + 5)> 36.

x ^ 2 + 5 * x – 36> 0.

D = 25 + 144 = 169.

x1 = (-5 + 13) / 2 = 4.

x2 = (-5 – 13) / 2 = -9.

Therefore, if -9 <x <4, the inequality is not true,

It turns out that the width of the rectangle must exceed 4 cm.

Answer: the width of the rectangle must be more than 4 cm.