 Hello and welcome to the session. In this session we discussed the following questions it says consider the relation between the area and the side of a square given by a is equal to x square. Draw the graph of the above function from the graph find the side of square when area is 4 square units. Now let's move on to the solution. The given function is a is equal to x square. Now we need to draw the graph of this function so for this first we will make a table of values for x and the corresponding values for a. We take x to be the side of the square and a is the area of the square. This is the table that we have drawn taking x in one row that is the side of the square in one row and a that is the area of the square in the other row. Now when we take x equal to 1 in this function a is equal to x square we would get a as 1. Now for x equal to 2 a would be equal to 2 square that is equal to 4. For x equal to 3 we get a as 3 square that is equal to 9. Then for x equal to 4 we get a as 4 square equal to 16. So this table means that when the side of the square is 1 units its area is 1 square units. For side equal to 2 units area of the square would be 4 square units. For side equal to 3 units its area would be equal to 9 square units and for side of the square as 4 units its area is equal to 16 square units. So now we have got 4 points that coordinates 1 1 2 4 3 9 and 4 16. Let's name these points as a b c and d respectively. Now that we have got 4 points we can easily draw the graph of the function a is equal to x square by plotting these points on a graph paper. So we have drawn the x axis and the y axis on x axis we have represented the side of the square that is represented by x and on the y axis we have taken the area of the square which is given by a. Now the scale that we have taken on the x axis is 1 small square equal to 1 unit and on y axis is 1 small square equal to 2 units. Now first point is point a which coordinates 1 1. So for this we start from the origin since the x coordinate is 1 so we move 1 unit to the right then as the y coordinate is 1 so from here we move 1 unit up so we reach at this point. So this is the point 1 1 that is the point a which coordinates 1 1. Next we have point b which coordinates 2 4. Now x coordinate is 2 so from the origin we move 2 units to the right and y coordinate is 4 so move 4 units up so we would reach here. So this is the point b which coordinates 2 4. Next point is point c which coordinates 3 9. Now x coordinate is 3 so from the origin we move 3 units to the right. Now from here we move 9 units up since the y coordinate is 9 so we reach at this point this is the point c which coordinates 3 9. Last point is the point d which coordinates 4 16. Now x coordinate is 4 so from the origin we move 4 units to the right we reach at this point from here we move 16 units up since the y coordinate is 16 and we reach at this point so this is the point d which coordinates 4 16. Now we join the points a, b, c and d to get the required graph. So on joining the points a, b, c, d we get the graph for the function a is equal to x square so this is the graph of the function a is equal to x square. Now from the graph we need to find the side of the square when its area is 4 square units that is when we have a equal to 4 square units then x would be equal to what? On the y axis take a point l at a equal to 4 that is this is the point l so we have taken on y axis at a equal to 4 take a point l then we draw l, b perpendicular to the y axis meeting the graph at the point b so we have taken this l, b perpendicular to the y axis and it's meeting the graph at the point b. Clearly we have b, l is equal to 2 units therefore we have when a is equal to 4 square units then x is equal to 2 units thus when the area of the square is 4 square units the side of the square is 2 units. With this we complete the session hope you have understood the solution for this question.