SOLUTION: the length of a rectangular plot is 8 m greater than its breadth.of the area of the plot is 308 m^,the length of the plot is

Algebra.Com
Question 954458: the length of a rectangular plot is 8 m greater than its breadth.of the area of the plot is 308 m^,the length of the plot is

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
L=length=W+8m; W=breadth=L-8m; A=area=308m^2
A=L*W
Substitute for W.

Subtract 308m^2 from each side.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1296 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 22, -14. Here's your graph:

ANSWER: The length is 22 meters
CHECK:
= The breadth is 14 meters.
RELATED QUESTIONS

19. The length of a rectangular plot of land is 7 m greater than its width. The diagonal (answered by htmentor)
The area of the rectangular plot is 140m^2. The length of the plot (in metres) is one... (answered by mananth)
Rajesh owns a plot of rectangular shape He has fenced it with a wire of length 750 m. The (answered by ewatrrr)
The length of a rectangular plot of land exceeds its breadth by 23m.if the length is... (answered by Boreal)
The length of a rectangular plot of land exceeds its breadth by 23m.if the length is... (answered by Fombitz)
the area of a plot of land is 126 square meter.If the breadth of plot is 5 meter less... (answered by ikleyn)
Two plot of land have the same perimeter. one is a square of side 64 m and the other is a (answered by josgarithmetic)
40 m is needed to enclosed a plot of land ,the length is 8 times its width,what is the... (answered by srinivas.g)
Rajesh own a plot of rectangular shape he has fenced it with a wire of length 750 m . the (answered by 55305)