SOLUTION: width of a rectangle is 6 kilometers lesss than twice its length.if its area is 56 sqare kilometers

Question 555571: width of a rectangle is 6 kilometers lesss than twice its length.if its area is 56 sqare kilometers
Answer by mathstutor494(120) (Show Source): You can put this solution on YOUR website!
Let Length be "x"
Then width = 2x-6
Area = x*(2x-6) which is equal to 56 Sq Km
so the eqn is
x*(2x-6)=56
>2x^2 - 6x = 56
> 2x^2 - 6x - 56=0
> x^2 - 3x-28=0 (dividing by 2)
> x^2 -7x + 4x -28 = 0
> x(x-7) +4(x-7) = 0
> (x+4) (x-7) = 0
So x = -4, 7
As length can't be negative, so the answer is
Length =7km, Breadth = 8km

RELATED QUESTIONS
Please can you help me with this problem. I really do appreciate your help... The... (answered by MathLover1,lwsshak3,solver91311)

The width of a rectangle is 6 kilometers less than twice it's length. If it's area is 176 (answered by checkley77)

the area of a rectangle is 319 square kilometers. Its width is 11 kilometers. find its... (answered by swincher4391)

the area of a rectangle is 420 kilometers and its width is 54 kilometers. what is the... (answered by solver91311)

The width of a rectangle measures 3 kilometers its length is three times its width. What... (answered by fractalier)

The length of a rectangle is 8 cm more than its width. If its perimeter is 56 cm, find... (answered by oscargut)

The length of a rectangle is 6 cm less than twice its width. Find the dimensions of the... (answered by checkley77)

the length of a rectangle is 6 cm less than twice its width. find the dimintions of the... (answered by TutorDelphia)

the width of a rectangle is 6 feet less than twice its length. If its area is 108 square... (answered by TimothyLamb,srinivas.g)