the length of a rectangular floor is 5m longer than its width .if the perimeter of of the floor is 86m ,find the dimensions of the floor
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Answer:-
- The length and breadth of the rectangular floor are 24m and 19 m.
Solution:-
Let:-
- The length of rectangular floor be l.
- And its breadth be b .
According to the question, we have
Length of rectangular floor (l) = 5 + b
Given perimeter = 86 m
we know that ,
Perimeter of rectangle = 2 (l + b)
= > 86 = 2 ( l + b)
=> 86 = 2 ( 5+b + b)
=> 86 = 2 (5 + 2b)
=> 86/2 = 5 + 2b
=> 43 = 5 + 2b
=> 38 = 2b
=> 38/2 = b
=> 19 = b
Now:-
l = 5 + b = 5 + 19 = 24
Therefore:-
The length and breadth of the rectangular floor are 24m and 19 m.
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