Q1.The length of a rectangle is 2 more than thrice its width. Find its dimensions if its perimeter is 76 units.
Answers
Explanation:
Given
Length of a Rectangle is 2 more than thrice it's width. Perimeter is 76 units.
To Find
We have to find its dimensions
Since,we don't know it's dimensions so,let us assume some Variable.
Let the Breadth of the Rectangle be 'x'
Then length is 2 more than thrice its width
Thrice of width = 3*x= 3x
According to the question:
length of the Rectangle= 2+3x
Perimeter of the Rectangle= 2(l+b)
Where l is the length and b is the breadth
Perimeter of Rectangle= 2(2+3x+x)
=> 76= 2(4x+2)
=> 76= 8x+4
=> 76-4=8x
=> 72= 8x
=> x= 9
x=9
Therefore, breadth is 9 units
Length = 2+3x=> 2+3(9)= 29
Length is 29 units
Check:
Perimeter of Rectangle= 2(9+29)
Perimeter of Rectangle= 2(38)= 76 units
More information=>
Perimeter is the total distance occupy by a solid 2D figure around its edge.
Area of Rectangle= length *breadth
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