the sides of a rectangle are in ratio 7:5 and its perimetre is 96cm find the lenght of the rectangle
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let x is include in the ratio
length =7x
breadth =5x
perimeter of rectangle =2 ( l +b )
2 × 12x =96
x =4 cm
length =28cm
length =7x
breadth =5x
perimeter of rectangle =2 ( l +b )
2 × 12x =96
x =4 cm
length =28cm
Answered by
115
Given :
- The sides of a rectangle are in ratio 7:5.
- It's perimetre is 96 cm.
To find :
- The lenght of the rectangle =?
Step-by-step explanation :
Let, the length of the rectangle be, 7x
Then, the breadth of the rectangle, 5x.
It is Given that,
Area of Rectangle =7 : 5 cm.
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(7x + 5x)
96 = 2 × 12x
.
96 = 24x
x = 96/24
x = 4
Therefore, We got the value off x, 4 cm
Hence,
The length of the rectangle, 7x = 7 × 4 = 28 cm
Then, the breadth of the rectangle, 5x. = 5 × 4 = 20 years.
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