Please answer this question and also please find out the length and breadth.
Answers
Step-by-step explanation:
Given :-
The area of a rectangular plot is 528 m² .The length of the plot is one more than twice its breadth .
To find :-
Represent the following situation in the form of a quadratic equation ?
Solution :-
Let the breadth of the rectangular plot be X m
Then , the length of the rectangular plot =
One more than twice the breadth
=> (2X+1) m
Area of a rectangle = lb sq.units
=> (2X+1)(X) sq.m
=> (2X×X)+(1×X)
=> 2X²+X sq.m
According to the given problem
Area of the rectangular plot = 528 m²
=> 2X²+X = 528
=> 2X²+X-528 = 0
Answer:-
The required equation for finding the length and the breadth of the rectangular plot is
2X²+X-528 = 0
Check:-
2X²+X-528 = 0
=> 2X²-32X+33X-528 = 0
=> 2X(X-16) +33 (X-32) = 0
=> (X-16)(2X+33) = 0
=> X-16 = 0 or 2X+33 = 0
=> X = 16 or X = -33/2
X can not be negative
=> X = 16 m
Breadth = 16 m
Length = 16+1 = 17 m
Area = 17×16 = 528 m²
Verified the given relations in the given problem
Used formulae:-
- Area of a rectangle = lb sq.units
- l = length
- b = breadth