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
Step-by-step explanation:
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Answer:
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 .
3
> 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 (1) 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.