 Hello and welcome to this session. Let us understand the following problem today. Some of the areas of two squares is 468 meter square. If the difference of the perimeter is 24 meter, finally sides of the two square. Now let us first understand the key idea. Area of square is equal to side square or side is equal to under root area. Perimeter of square is equal to 4 into side. Now let us solve the problem. Some of the areas of square is equal to 468 meter square and difference of perimeter is equal to 24 meter. Therefore, let the area of one square is equal to x square meter square. Therefore, the area of other square is equal to 468 minus x square meter square. Therefore, side of one square is equal to root area which is equal to under root x square which is equal to x is equal to under root area which is equal to under root 468 minus x square. Perimeter of one square is equal to 4 into side which is equal to 4x to 4 into side which is equal to 4 into under root minus x square. That difference of the perimeter is equal to 24 meter. Therefore, equation form will be minus x square is equal to 24 minus x square is equal to 6. This we have got by taking 4 common which implies that 6 is equal to 468 minus x square. Now, square in both the sides. The whole square is equal to 468 minus x square which is equal to 468 minus x square which implies x square plus x square which is equal to 0. This implies 2x square minus 12x minus 432 is equal to 0. Now, taking 2 common we get x square minus 6x 216 is equal to 0. Now, splitting the middle term we get x square minus 12x plus is equal to 0. Which implies now taking x common we get x minus 12 plus 18 common x minus 12 is equal to 0 which implies x plus 18 into x minus 12 is equal to 0. This implies x plus 18 is equal to 0 and x minus 12 is equal to 0 which implies x is equal to minus 18 and x is equal to plus 12 minus 18 not possible. Therefore, x is equal to 12. Therefore, x is equal to 144 meter square is equal to under root 144 which is equal to 12 meter is equal to 468 minus x square which is equal to 468 minus 144 is equal to 324 meter square. Therefore, area which is equal to under root 324 which is equal to 18 meter is equal to 18 meter and 12 meter. If you have a problem, buy and have a nice day.