Sorry, more details are here:"The length of a rectangle is 1 inch less than twice the width. The area of the

the length is 2x-1 when the width is x.

x(2x-1)=21

2x^2-x-21=0

(2x-7)(x+3)=0

x=3.5, -3 x has to be grater than 0. so the width is 3.5. the length is 2*3.5-1=6

That means that the length can be expressed in terms of the width.

Length = 2(width) - 1

Area = length * width

Area = (2(width) - 1)*width

Area = 2w^2 - w (w = width)

21 = 2w^2 - w

2w^2 - w - 21 = 0

(2w - 7)(w + 3) = 0

w = 7/2 or -3

Since the width cannot be negative, the width is 7/2 inches. The length is then 2(7/2) - 1, or 6 inches.

Checking the answer, Area = length times width = 6 * 7/2 = 42/2 = 21.

Let width = x,

=> length = 2x -1

Area = len x width = 21

=> x(2x - 1) = 21

=> 2x^2 - x - 21 = 0

=> (2x - 7)(x + 3) = 0

Because X needs to be positive here, from

2x - 7 = 0, we get x = 3.5, which is the width.

Hence, length = 2 x 3.5 - 1 = 6 inches.

Let x = the width

Then length = 2x-1

Area= length times width = x(2x-1) = 2x^2 -x

Therefore 2x^2 - x = 21

2x^2-x-21=0

(2x-7)( x+3) = 0

x+3=0 so x= -3 and

2x-7 = 0 so x= 7/2

We reject x=-3 because we cannot have a negative width

So x= 7/2 = 3.5 = width

length = 2(7/2) -1 = 6

assume widts = x inch

then, you will get the length = 2x -1

area = length x width = 21

= (2x - 1)(x) = 21

2x^2 - x = 21

2x^2 - x -21 = 0

factorize it, you will get

(2x - 7)(x + 3) = 0

2x - 7 = 0

x = 3.5 inch

length = 2x -1 = 7 - 1 = 6 inch

the answer is 6 inch

x cannot be - 3 inch because length always exist in positive value

first you need to know the equation of the area of a rectangle = length*width (in the given the total area=21)

in the given equation, it states that:

width = x

length = 2x-1

now you can rewrite the equation:

21=(2x-1)(x)

now you solve for x and then you'll get the width.

to get the length, substitute the value of x in 2x-1

L = 2w - 1

21 = L x w

using substitution

21 = (2w -1)(w)

21 = 2w^2 - w

0 = 2w^2 - w -21

by the quadratic formula

w = 14/4 in = 3.5in

so L = 6 in

MAN THIS TOOK ME LIKE 10 MINS!!!! the 2 short sides are 3.8333333 inches, and the long sides are 6.66666666 in. the answer: 3.833333x 2= 7.666666-1=6.666666

6.66666x 2= 13.32+7.66666666=REALLY CLOSE To 21. TRY IT!

given allow x = W 2x-a million = L A = 120m^2 the position A = L*W 100 and twenty = x( 2x - a million) 100 and twenty = 2x^2 - x 2x^2 - x - 100 and twenty = 0 , element it out (2x + 15)( x - 8) = 0 because the first element delivers a unfavourable answer that is -7.5, then x = 8 is our a possibility answer.. substituting the linked fee of x, length = 2(8) - a million =16-a million =15 WIDTH = 8

2w-1=L

Lw=21 (2w-1)w=21

2w*-w-21=0

(2w-7)(w-6)=0 3.5 : 6