the length of a rectangle is 3x + 2y and the breadth is x - y . what is the perimeter of rectangle.
Answers
Step-by-step explanation:
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Answer:
Perimeter can be defined as the length of the boundary of a geometrical figure.
Perimeter = Sum of all sides ( Valid for every figure )
Perimeter = 2 ( length + breadth ) [ Valid only for rectangle ]
Perimeter = 4 × Length of one side ( Valid only for square )
Main Solution :-
Given,
The figure is a rectangle.
From the given figure, we can see that :-
Length of the rectangle = 6x + y, and
Breadth of the rectangle = 3x - 2y
Perimeter of a rectangle = 2 ( length + breadth )
Substituting the values. we get : -
Perimeter = 2 ( 6x + y + 3x - 2y )
Add this expression by bringing like terms together ( present inside the bracket )
We get :-
Perimeter = 2 ( 9x - y )
Now, we will open the brackets .
We get : -
Perimeter = 18x - 2y ( Ans )
Hope it helps you.