What is the breadth of a rectangle of length 24 cm and area 360
sq cm?
If the perimeter of a rectangle is 120 m and breadth is 25 m, find its length.
The perimeter of a football ground is 324 metres. If its length is 95 metres, what is its
Answers
Step-by-step explanation:
1)area of rectangle= l×b.
360=24×b
360÷24=b
60÷4 = b
15=b
ans : area breadth=15cm
2) perimeter of rectangle= 2(l+b)
120=2(l+25)
120÷2 = l+25
60=l+25
60-25=l
35=l
ans: length =35m
3) perimeter of rectangle=2(l+b)
324=2(95+b)
324÷2=95+b
162=95+b
162-95=b
67=b
ans:perimeter of rectangular football ground =67m
1st Question :
What is the breadth of the rectangle . If the length is 24 cm and the area of the rectangle = 360 cm² ?
Answer
Given :
Length of the rectangle = 24 cm
Area of the rectangle = 360 cm²
Required to find :
- Breadth of the rectangle ?
Formula used :
Area of the rectangle = length x breadth
Solution :
Length of the rectangle = 24 cm
Area of the rectangle = 360 cm²
We need to find the breadth of the rectangle ?
So,
Let the breadth of the rectangle be b cm
According to problem ;
Area of a rectangle = length x breadth
360 cm² = 24 cm x b cm
360 cm² = 24b cm²
360 = 24b
24b = 360
b = 360/24
b = 15
Hence,
Breadth of the rectangle = 15 cm
2nd Question :
If the perimeter of a rectangle is 120 meters . The breadth of the rectangle is 25 meters . Find it's length ?
Answer
Given : -
Perimeter of a rectangle = 120 meters
Breadth of the rectangle = 25 meters
Required to find : -
- Length of the rectangle ?
Formula used : -
Perimeter of the rectangle = 2 ( length + breadth )
Solution : -
Perimeter of a rectangle = 120 meters
Breadth of the rectangle = 25 meters
we need to find the length of the rectangle ?
So,
Let the length of the rectangle be l units
According to problem ;
Perimeter of a rectangle = 2 ( length + breadth )
120 m = 2 ( l m + 25m )
120m = 2lm + 50 m
120 m - 50 m = 2lm
70 m = 2lm
2lm = 70 m
l = 70m/2m
l = 35 meters
Hence,
Length of the rectangle = 35 meters
3rd Question : -
The perimeter of a football ground is 324 metres. If its length is 95 metres, what is its breadth ?
Answer
Given : -
Perimeter of a football ground = 324 meters
Length of a football ground = 95 meters
Required to find : -
- Breadth of the football ground ?
Formula used : -
Perimeter of the rectangle = 2 ( length + breadth )
Solution : -
Perimeter of a football ground = 324 meters
Length of a football ground = 95 meters
We need to find the breadth of the rectangle ?
So,
Let the breadth be b meters
According to problem ;
Perimeter of the rectangle = 2 ( length + breadth )
324 m = 2 ( 95 m + b m )
324m/2 = 95 m + b m
162 m = 95 m + b m
162 m - 95 m = b m
67 m = b m
67 = b
b = 67
Hence,
Breadth of the rectangle = 67 meters