Learn To Find Area And Perimeter Of Square And Rectangle

  • 2 months ago
Transcript
00:00Hi kids! Today we will learn how we can find the parameter and area of rectangle and square.
00:11So let's get started.
00:15Parameter.
00:17Kids, parameter is the distance or the length of boundary of a figure.
00:24Today we will learn finding the parameter of rectangle and square.
00:32Here we have a square with its side given.
00:37Its side measures 5 cm.
00:42We have to find its parameter, that is the length of the boundary of the square.
00:50If the side is given, we can find the parameter using the formula.
00:58Parameter equals 4 multiplied with side.
01:04Here side is 5 cm, so parameter is 4 multiplied with 5.
01:144 multiplied with 5 equals 20.
01:19So, parameter is 20 cm.
01:24Now, let's take another example.
01:28Here we have a square with side 3 cm.
01:33Let's find its parameter.
01:36We know parameter equals 4 multiplied with side.
01:43And here the side is 3 cm.
01:47So parameter equals 4 multiplied with 3 equals 12 cm.
01:56Now let's move to another question.
02:00Here we have a square with parameter 36 cm.
02:06And we have to find the length of its side.
02:10We are given with the parameter and we have to find its side.
02:16We know parameter is 4 multiplied with side.
02:22Filling the value of parameter, we get 36 equals 4 multiplied by side.
02:32We have to solve this equation.
02:34Or, we can think like, multiply 4 with which number so that it gives us 36.
02:44If we multiply 4 with 9, we get 36.
02:48So here, side equals 9.
02:52So side of the square is 9 cm.
02:57We can also solve it the equation way.
03:02Keeping S on the right hand side, we can shift 4 on the right hand side and change its sign.
03:12Like here, it's getting multiplied.
03:15So on right hand, it will be divided.
03:20So, S equals 36 divided by 4.
03:26And 36 divided by 4, we get 9.
03:31So side equals 9 cm.
03:35Here, let's solve a few questions in a quick fashion.
03:42Parameter of square with side 5 cm will be 5 multiplied by 4 equals 20 cm.
03:52Parameter of square with side 3 cm will be 4 multiplied by 3 equals 12 cm.
04:03Side of the square with parameter 20 cm will be 20 divided by 4 equals 5 cm.
04:15Side of the square with parameter 40 cm will be 40 divided by 4 equals 10 cm.
04:27Now let's learn how we find area of square.
04:32Here we have a square with its side mentioned.
04:36It is 5 cm.
04:39Formula for finding area of a square is side square or side multiplied by side.
04:49So, area of this square equals 5 multiplied by 5 equals 25 cm square.
04:59As R is always mentioned in square unit.
05:04Here we have another square.
05:07Its side is 4 cm.
05:10Let's find its area.
05:13The area of square is side square or side multiplied by side.
05:21So, 4 multiplied by 4 equals 16.
05:27So, area of this square equals 16 cm square.
05:34Now, let's solve a quick question in a quick fashion.
05:40Area of square with side 5 cm will be 5 multiplied by 5 equals 25 cm square.
05:50Area of square with side 3 cm will be 3 multiplied by 3 equals 9 cm square.
06:01Now let's learn finding area and parameter of rhombus.
06:07This is a rhombus shape.
06:10Rhombus also have all sides equal.
06:14So, finding parameter and area of rhombus is just same as we did for square.
06:22Parameter of rhombus with side 8 cm will be 8 multiplied by 4.
06:308 multiplied by 4 equals 32 cm.
06:36So, parameter of rhombus with side 8 cm is 32 cm.
06:44Area of rhombus with side 4 cm will be 4 multiplied by 4 equals cm square.
06:54So kids, finding area and parameter in case of a rhombus is same as we find in a square.
07:02Now let's learn finding parameter of a rectangle.
07:07We know rectangle also have 4 squares, but its all sides are not equal.
07:14Its opposites are equal.
07:18Two of its opposite sides are smaller than other two sides.
07:24Here we have a rectangle with its length and breadth mentioned.
07:30Let's find its parameter.
07:33Here the length of this rectangle is 7 cm and the breadth of this rectangle is 3 cm.
07:44Now let's find its parameter.
07:48Formula to find the parameter in case of a rectangle is
07:542 times length plus breadth.
07:58That is 2 multiplied with the sum of length of breadth.
08:03Here length is 7 cm, breadth is 3 cm.
08:10Putting the values we get
08:245 by 10 equals 20 cm.
08:28So, parameter of this rectangle is 20 cm.
08:35Now let's take another example.
08:39Here we have another rectangle with its length and breadth mentioned.
08:44Length is 5 cm, breadth is 4 cm.
08:50Now let's find its parameter.
08:53We know parameter is 2 multiplied by the sum of length and breadth.
08:59So putting the values of length and breadth in formula,
09:03parameter equals 2 multiplied by 5 plus 4.
09:10Parameter equals 2 multiplied by 9.
09:15So parameter equals 18 cm.
09:19Now let's learn how to find the area of rectangle.
09:25Here we have a rectangle.
09:28Let's find its area.
09:31Formula to find the area of a rectangle is very simple.
09:36Just multiply length with breadth.
09:40Length multiplied by breadth.
09:44So area of rectangle is a product of its length and breadth.
09:49So putting the value we get,
09:52area equals 7 multiplied by 3.
09:57Area equals 21 cm square.
10:01Remember, area is always mentioned in square units.
10:07Now let's solve a few questions on base of what we learnt.
10:12What will be the area of rectangle with breadth 5 cm and length 9 cm?
10:20We know area of rectangle is length multiplied by breadth.
10:26And length and breadth are 9 multiplied by 5 cm.
10:33So area equals 45 cm square.
10:37Now let's solve another question.
10:40Find the length of a given rectangle having area as 195 m2 and breadth 13 m.
10:50We know length multiplied by breadth equals area.
10:56Putting the values we will get length multiplied by 13 equals 195.
11:05Breadth is 13 cm and area is 195 cm square.
11:14So we have this in the form of a mathematical equation.
11:19Solving this mathematical equation,
11:22we get length equals 195 divided by 13.
11:30195 divided by 13 is 15.
11:36So length is 15 cm.
11:40Now let's solve another question.
11:44How would you find the difference between the parameter and area of the rectangle measuring 8 m by 4 m?
11:55We have to find the difference between parameter and area.
12:01So first we have to find the parameter and area of this rectangle.
12:08So putting the values we get,
12:10parameter equals 2 multiplied with the sum of 8 and 4.
12:17So we get 2 multiplied with 12.
12:22That is 24 cm.
12:26So we got the parameter.
12:29Now let's find the area.
12:32We know area of a rectangle is length multiplied with breadth.
12:39Putting the values we get,
12:418 multiplied with 4 equals 32 cm square.
12:48So we got the area too.
12:52Now we have to find the difference between the area and the parameter.
12:59And we know we subtract the smaller thing from the bigger thing.
13:05Here the bigger one is area.
13:09So let's subtract the parameter from area.
13:15Area is 32 cm square.
13:19And parameter is 24 cm.
13:2432 minus 24 equals 8 cm.
13:30So difference between area and parameter of this rectangle is 8 cm.
13:38Now let's solve another question.
13:41Here we have a grid.
13:43Where each cell is of measure 1 cm by 1 cm,
13:50or each small square has side 1 cm,
13:55we have to find
13:57how many cells in rows and columns together would make a square of parameter 20 cm.
14:07First let's try to understand the question.
14:13We have to find how many cells in rows and columns would make a square of parameter 20 cm.
14:23Parameter 20 cm means
14:27side multiplied by 4 equals 20 cm.
14:33First of all, find the side of the square whose parameter is 20 cm.
14:41So side of square would be 20 divided by 4 equals 5 cm.
14:49So a square with side 5 cm will have parameter 20 cm.
14:57So we have to find the square with side 5 cm.
15:03This is the grid with side 5 cm,
15:07as each square has side 1 cm.
15:11So 5 squares will make a side 5 cm.
15:17This square is made up of 25 squares.
15:22So our answer is 25 squares.
15:28Let's answer another question.
15:32The length and breadth of the rectangle is given below in the figure.
15:38Find the cost of fencing on the boundary at the rate of $12 per cm.
15:46We have to find the cost of fencing on boundary.
15:50So first we need to find the parameter of this rectangle.
15:56And we know parameter is 2 times the sum of length plus breadth.
16:042 multiplied by 7 plus 4 equals 2 multiplied by 11 equals 22 cm.
16:16So the parameter of this rectangle is 22 cm.
16:22And we are given cost of fencing the boundary is $12 per cm.
16:31And we have to find the cost of fencing 22 cm.
16:36We will multiply 22 with 12 to get the cost of fencing 22 cm.
16:44As the boundary is 22 cm long,
16:48cost of fencing 1 cm is $12.
16:53So cost of fencing 22 cm will be 12 multiplied by 22 equals $264.
17:05So kids, let's revise what we have learned.
17:10We have learned parameter of square is 4 times the side.
17:17Parameter of rectangle is 2 times length plus breadth.
17:23Area of square is side square or side multiplied by side.
17:30Area of rectangle is length times the breadth, that is.
17:37And in case of a rhombus and square, it's same as a square.
17:44So kids, now you may go ahead and take a quiz to learn more.
17:49Bye-bye.