The length of the base of the rectangle is 1.5-1=0.5
We need to find the height. The height is equal to y-value of the point that lies in the corner of the rectangle and also on the graph of the function. We put the x-value of that point into the function. So ,the height is equal to [tex]4-1.5^2=1.75[/tex]
Therefore, the area of the rectangle is [tex]0.5\cdot1.75=0.875[/tex]