4. 20 in^2
5. 35 units^2
4. Looking at the diagram, you can see that the figure is covering an area that's 8 squares by 4, so the upper limit on its size is 32. But we need to subtract from that upper area, the regions left uncovered in the 4 corners of that area. The upper left hand corner has about 2 square uncovered. Upper right hand corner has a bit over 2 uncovered. Lower left has about 2 uncovered and finally, the lower right has about 2 uncovered. So there's a bit more than 8 squares left uncovered. And 32 - 8 = 24, which is still a bit of an over estimate of the covered area. Looking at the available options of 10, 15, 20, and 35, the choice that comes closest is 20. So the answer is 20 in^2
5.This one is much easier. Looking at the figure, you can immediately see that there's a 8 by 4 region at the bottom of the figure that completely covers those squares. And the 8 by 1 region at the very top with the curving line looks to be covering about half of the squares so that would be about 4. And 8 x 4 + 4 = 32 + 4 = 36. Looking at the choices of 20, 25, 35, and 40, the closest option is 35 units^2.