The length of the garden is 5m longer than its width and the area is 14m². How long is the garden?
3 Answers
Explanation:
Let the width of the garden be
Length of the garden
Either
Or
Width cannot be negative.
So , Width
Length
Explanation:
First of all define the variables for length and width of rectangular garden.
Let's say,
Then according to the given statement, the length of the garden is given by
Now apply the formula for the area of rectangle, and solve for the
By solving for
Discared the solution
So using,
That's it!
Let length of the garden
It is given that length of the garden is
#:.# Width#=(L-5)\ m#
Area of the rectangular garden
#:.A=Lxx(L-5)=(L^2-5L)\ m^2#
Equating with the given value we get
#(L^2-5L)=14#
#L^2-5L-14=0#
Solving the quadratic using split the middle term we get
#L^2-7L+2L-14=0#
#=>L(L-7)+2(L-7)=0#
#=>(L-7)(L+2)=0#
Roots are found as
#(L-7)=0=>L=7# #(L+2)=0=>L=-2#
Ignoring the second root as length can not be negative, we have#L=7\ m#