The lenght of a rectangle is three times its breaths if their perimeter is 96cm find the dimensions of the rectangle
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Answered by
12
perimeter = 96 cm
let the breadth be x
then,the length will be 3x
perimeter = 2(L+B)
= 2(L+B)=96cm
= 2(3x+x)=96cm
=2×4x = 96cm
= 8x = 96 cm
then,. = x = 96/8 = 12cm
then, breadth = 12cm
length. = 12×3 = 36cm
let the breadth be x
then,the length will be 3x
perimeter = 2(L+B)
= 2(L+B)=96cm
= 2(3x+x)=96cm
=2×4x = 96cm
= 8x = 96 cm
then,. = x = 96/8 = 12cm
then, breadth = 12cm
length. = 12×3 = 36cm
Answered by
259
Given :
- The lenght of a rectangle is three times its breaths.
- their perimeter is 96cm.
To find :
- Dimensions of the rectangle =?.
Step-by-step explanation :
Let, the breadth of the rectangle be, x
Then, the rectangle of the rectangle, 3x .
It is Given that,
The lenght of a rectangle is three times its breaths.
We know that,
Perimeter of the rectangle , 96 cm
As We know that,
Perimeter of the rectangle = 2(length + breadth)
Substituting the values in the above formula, we get,
96 = 2(x + 3x)
96 = 2 × 4x
96 = 8x
x = 96/8
x = 12
Therefore, We got the value off x, 12 cm
Hence,
The breadth of the rectangle, x = 12 cm
Then, the length of the rectangle, 3x = 12 × 3 = 36 cm.
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