The length of a rectangle is 10m more than its breath if the pari meter of rectangle is 80m find the length and breath of the rectangle respectively. 25m;15m. 20m; 30m. 15m ; 25m ; 5m; 15m.
Answers
Given :
- The length of a rectangle is 10m more than its breath.
- The perimeter of a rectangle is 80 m.
To find :
- The length and breath of the rectangle =?
Formula Used :
- Perimeter of the rectangle = 2(length + breadth)
Step-by-step explanation :
Let, the breadth of the rectangle be, x.
Then, the length of the rectangle be, x + 10.
As it is given that,
The perimeter of a rectangle is 80 m.
Now,
As We know that,
Perimeter of the rectangle = 2(length + breadth)
Substituting the values in the above formula, we get,
80 = 2[x + (x + 10)]
80 = 2[2x + 10]
80 = 4x + 20
4x = 80 - 20
4x = 60
x = 60/4
x = 15.
Therefore, We got the value of, x = 15 m.
Hence,
The breadth of the rectangle, x = 15 m.
Then, the length of the rectangle, x + 10 = 15 + 10 = 25 m.
Answer:
The length and breadth of the rectangle are : 25 m and 15 m respectively.
Given :
➛The length of a rectangle is 10m more
than its breath.
➛The perimeter of a rectangle is 80 m.
To Find :
The length and breath of the rectangle
Solution:
We are given,
➛The length of a rectangle is 10m more
than its breath.
➛The perimeter of a rectangle is 80 m.
Let, the breadth of the rectangle be, m.
Then, According to given condition
The length of the rectangle be, m + 10.
The perimeter of a rectangle is 80 m. ( given)
We know that,
Perimeter of the rectangle = 2(length + breadth)
➾80 = 2 { m + (m + 10)}
➾80 = 2 { 2m + 10 }
➾80 = 4m + 20
➾4m = 80 - 20
➾4m = 60
➾m = 60/4
➾m = 15.
Hence,
The breadth of the rectangle, m = 15 m.
Therefore, the length of the rectangle, x + 10 = 15 + 10 = 25 m.
Hence,
The length and breadth of the rectangle are 25 m and 15 m respectively.
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Formula Used :
Perimeter of the rectangle = 2(length + breadth)