Answer:
3.5cm
Step-by-step explanation:
The area of a rectangle is the product of the length and width.
It was given that, the area of the rectangle is 8cm² to the nearest cm²
The width of the rectangle is given as 2 cm, correct to the nearest cm.
This means that:
[tex]l \times 2 = 8[/tex]
Divide both sides by 2 to get:
[tex]l = \frac{8}{2} [/tex]
[tex]l = 4cm[/tex]
Since with was to the nearest cm, so is the length.
To find the lower bound we divide the level of accuracy by 2 and subtract from 4.
[tex]lower \: bound = 4 - \frac{1}{2} = 3.5 [/tex]
Therefore the lower bound for the width of the rectangle is 3.5cm