The length of a rectangular boat storage shed must be 4 meters more than the width, and the perimeter must be at least 112 meters. What is the range of values for the width?

Respuesta :

Answer:

The width of the rectangular shed can be 26, 27, 28, ........

Step-by-step explanation:

Let the width of the rectangular shed be, W = x

Then the length of the rectangular shed will be  

L = 4 + width

L = 4+x

We know that the perimeter of the rectangle is 2W+2L

Also it is given that the perimeter of the rectangular must be at least 112 meters

2W+2L >= 112

Substituting the values

[tex]2x+4x+8 \geq 112[/tex]

[tex]2x+8+2x \geq 112[/tex]

[tex]4x+8 \geq 112[/tex]

[tex]4x \geq 112-8[/tex]

4x>104

[tex]x \geq \frac{104}{4}[/tex]

[tex]x \geq 26[/tex]