Step-by-step explanation: A Null Hypothesis is a hypothesis used in statistics to show that there is no variation among the variables of interest. A Null Hypothesis also can be said to be giving a proposal that there is not significant difference between the observed data.
An alternative hypothesis is a hypothesis in statistics given contrary to the Null Hypothesis,a Null hypothesis can also be seen in statistics as stating that something is happening among the data.
So since the length is 4+w. Then the perimeter 2(4+w) + 2w >= 48. so, 8+2w+2w>=48. 8+4w>=48 4w>=40 w>=10 so, the width must be at least 10. And the smallest dimensions can be 10 x 14.