 Hi and welcome to the session. I am Neha and today I am going to help you with the following question. The question says a square and a rectangular field with measurements as given in the figure have the same perimeter, which field has a larger area. Here in this question we have a square and a rectangle and we need to work on its perimeter and area. So before proceeding for its solution let's recall the formula for the perimeter and area of a square and a rectangle for a square perimeter is equal to 4 into site and area is equal to 8 square and in a rectangle perimeter is into L plus B where L is length and B is breadth and area is length into length. This is the key idea for this question. Now let us proceed for its solution. In question we are given that the square and rectangle have the same perimeter. So first of all let's find out the perimeter of a square and rectangle. So in figure A that is the square site is equal to 60 meters, perimeter will be equal to 4 into site that is 4 into 60 meters that is equal to 240 meters. Let us mark it as 1 and now in figure B that is rectangle length is equal to 80 meters and breadth is not given. So let us assume as B, B meters. Now perimeter of the rectangle is equal to 2 L plus B. So here L is equal to 80 meters so we will have 2 into 80 plus B that is B meters. So mark the perimeter of rectangle as that the perimeter of the square is equal to perimeter of rectangle this implies 40 is equal to 2 into 80 plus B that gives 240 equal to 160 plus 2B. Now subtracting 160 from both the sites we will get 240 minus 160 equal to 160 plus 2B minus 160. So here 160 and minus 160 will get cancelled and we will get 80 equal to 2B. Now to get the value of B we will divide both the sites by 2 and we will get 80 upon 2 equal to 2B upon get cancelled and we will get 40 equal to B. Therefore width of the rectangle is equal to 40 meters. Now let us go back to the question it says which field has larger area. So let us find out the area of both the fields that is square field and rectangle field area of square field is equal to I d square side of the square field is 60 meters. So 60 meters square this will give us 3600 meters square and now area of rectangular field area of a rectangle is length into breadth. So here length is 80 meters. So 80 meters into breadth is 40 meters into 40 meters and this is equal to 3200 meters square. Now area of square field is 3600 meters square and area of rectangular field is 3200 meters square. Area of square field is 3200 that means area of square field is greater than area of rectangular field. So we will write therefore has a larger area and thus square field that is figure a is a required answer that is figure a has the larger area. So with this we finish this session hope you must have understood the question goodbye take care and have a nice day.