the length of a rectangle is twice of its breath if it's perimeter is 48 CM find the dimensions of the rectangle
Answers
Answered by
4
let the lenght be 2x
and breadth be x
perimeter = 48
now,
perimeter = 2(l+b)
48 = 2(2x+x)
48 = 2(3x)
48 = 6x
x = 48/6
x= 8
length = 2*8
=16cm
breadth =1*8
=8cm.....
and breadth be x
perimeter = 48
now,
perimeter = 2(l+b)
48 = 2(2x+x)
48 = 2(3x)
48 = 6x
x = 48/6
x= 8
length = 2*8
=16cm
breadth =1*8
=8cm.....
Answered by
192
Given :
- The perimeter of a rectangle is 48 cm.
- It's length is 2 times its breath.
To find :
- The dimensions 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, 2x.
As We know that,
Perimeter of the rectangle = 2(length + breadth)
Substituting the values in the above formula, we get,
48 = 2(x + 2x)
48 = 2(3x)
48 = 6x
6x = 48
x = 48/6
x = 8
Therefore, We got the value of, x = 8 .
Hence, the breadth of the rectangle, x = 8 cm
The breadth of the rectangle be, 2x = 2 × 8 = 16 m
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