 Hi and welcome to the session. Let us discuss the following question. The question says the shape of a garden is rectangular in the middle and semicircular at the ends as shown in the diagram. Find the area and the perimeter of this garden. Before proceeding for the solution, let's recall few formulas. First one is area of rectangle that is equal to length into width of a semicircle is equal to 1 by 2 into pi r square that is equal to 2 pi r. Key idea for this question. Now let's see its solution. This question we need to find the area and the perimeter of the garden. So first of all let's find the area and to find the area, first of all we will find the area of the rectangular region and then we will find the area of two semicircular regions. And we will add all these three to get the required area of this garden. First of all let's find the length and breadth of the rectangular region for rectangular region. Here the length of the whole garden is 20 meters but we need to find the length of this rectangular region that is from this point to this point. Now the breadth of the rectangle is 7 meters that means the diameter of this semicircular region is also 7 meters. So diameter is 7 meters that means radius will be 7 upon 2 meters that is 3.5 meters because radius is half of diameter. So this length is also the radius of this semicircular region and this is 3.5 meters also this semicircular region will also have the radius 3.5 meters as its diameter is also 7 meters. So that means length of this rectangle is 20 meters 3.5 meters minus 3.5 meters. Therefore for rectangular region length is equal to 20 minus 3.5 minus 3.5 meters that is equal to 13 meters. The breadth is already given to us that is 7 meters. Area of rectangular region is equal to length into breadth that is length is 13 meters into breadth is 7 meters which is equal to 91 meters square. Now let us find out the area of the semicircular regions. So first of all we will find the area of one semicircular region, semicircular region. We have radius equal to 3.5 meters area of semicircular region is equal to half into pi r square half into pi into r square and r is 3.5 3.5 meters square. This is equal to 2 into now pi is 22 upon 7 into 3.5 into 3.5 meters square that is 38.5 upon 2 meters square. Now this is the area of two semicircular regions and for that we will multiply the area of one semicircular region that is 38.5 upon 2 meters square by 2 is equal to 2 into 38.5 upon 2 meters square and this is equal to 38.5 meters square. Therefore area of garden is equal to area of rectangular region area of semicircular regions. Now area of rectangular region is 91 meters square. So area of garden is equal to 91 meters square plus area of two semicircular regions is 38.5 meters square so plus 38.5 meters square that is 129.5 meters square. And now we need to find the perimeter of the garden and the perimeter of this garden will be length of this rectangle plus perimeter of this semicircular region plus length of the rectangle plus perimeter of this semicircular region. So here we already know the length of the rectangle that is 13 meters also this length is 13 meters. Now we need to find the perimeter of semicircular regions. This circle is known as circumference of the circle and circumference of the circle is 2 pi r. So the perimeter or let's say circumference of the semicircular region will be half into 2 pi r. So let's find that now of semicircular region is equal to half into 2 pi r which is equal to here 2 into will get cancelled and we will get pi into r and here r is 3.5 meters. Now the value of pi is 22 by 7 so this is equal to 22 by 7 into 3.5 meters. That is 11 meters. Therefore perimeter of garden is equal to length of the rectangle that is 13 meters plus circumference or perimeter of the semicircular region that is 11 meters. Again length of rectangle 13 meters plus circumference of the semicircular region 11 meters and this is equal to 48 meters. The required answer is area equal to 129.5 meters square perimeter equal to 48 meters. With this we finish this session. Hope you must have understood the concept. Goodbye and take care.