The width of a rectangular plot is 5 m less than its length and it's area is 84m2
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Answer :-
- Length of the rectangle = 12m
- Breadth of the rectangle = 7m
Given :-
- The width of a rectangular plot is 5m less than its length and it's area is 84m².
To Find :-
- Length and breadth of the rectangle
Solution :-
Let
- Length of the rectangle be x
- Breadth of the rectangle = x - 5
Here
- Area of the rectangle is 84m².
As we know that
- Area of a rectangle is l × b
Where
- l = length
- b = breadth
According to question :-
⇒ x (x - 5) = 84
⇒ x² - 5x = 84
⇒ x² - 5x - 84
[ split the middle term ]
⇒ x² - 12x + 7x - 84 = 0
⇒ x (x - 12) + 7 (x - 12) = 0
⇒ (x + 7) (x - 12)
__________________________
x = 12 [ length can't be negative ]
Now
- Length of the rectangle = x = 12m
- Breadth of the rectangle = x - 5 = 12 - 5 = 7m
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Answer:
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