The length of a rectangle is 6 m less than 3 times its breadth .If the perimeter is 148 m ,find its length and breadth
Answers
Answer:
length = 54 m breadth = 20 m
Step-by-step explanation:
perimeter
= 2 ( l + b )
=2 ( 54 + 20 )
2 × 74
= 148 m
so length is 54 m and breadth is 20 m
Answer:
- Length and breadth of rectangle will be 54 & 20 metres respectively .
Step-by-step explanation:
According to the Question
It is given that,length of a rectangle is 6 m less than 3 times its breadth .
The perimeter is 148 m
we have to calculate the length & breadth of rectangle .
According to the Given Condition :
Let the length be y
and , breadth be x
Now, according to the given condition
length of a rectangle is 6 m less than 3 times its breadth .
↠ y = 3x-6 -----(i)
again,
Perimeter of Rectangle is given 148m
Perimeter of Rectangle = 2(length + breadth)
↠ 148 = 2(length + breadth)
↠ 148/2 = (length + breadth)
↠ 74 = x + y ------(ii)
Now, putting the value of y = 3x - 6 from equation in equation (ii) we get
↠ 74 = 3x -6 + x
↠ 80 = 4x
↠ x = 80/4
↠ x = 20 m
Now, putting the value of x = 20 in equation (I) we get
↠ y = 3(20)-6
↠ y = 60-6
↠ y = 54 m
- Hence, the length and breadth of the rectangle will be 54 & 20 m respectively.