Question

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?

Answer 1

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

$2x+4x+8 \geq 112$

$2x+8+2x \geq 112$

$4x+8 \geq 112$

$4x \geq 112-8$

4x>104

$x \geq \frac{104}{4}$

$x \geq 26$