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Q.

The sides of a rectangle are in the ratio 7: 5 and its perimeter is 96 cm. The length of the rectangle is ____ cm.


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Detailed Solution

The sides of a rectangle are in the ratio 7: 5 and its perimeter is 96 cm. The length of the rectangle is 28 cm.
Given the sides of a rectangle are in the ratio 7: 5 and its perimeter is 96 cm.
Let the length = 7x.
And the breadth = 5x.
Now, perimeter of rectangle is,
p=2× lenght+breadth   p = 2 (7x + 5x)
p = 2(12x)
p = 24x
But the perimeter is given.
So, equating both,
24x = 96
x= 96 24  
x = 4
The length is,
l=7×x l=7×4 l=28cm   Length of the rectangle is 28 cm.
 
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