Question

What is the correct answers NEED ANSWER ASAP​

Answer 1

Your Answer is 11 inches by 2 inches

Explanation:

Area of Rectangle: Area = Length * Width

Given information:

• Area = 22 in^2
• Length = 2x - 1
• Width = x - 4

Put that into the Formula.

Area = Length * Width

22 in^2 = (2x - 1) * (x - 4)

Solve.

22 in^2 = (2x - 1) * (x - 4)

`22 = (2x^2 - 9x + 4)\\2x^2 - 9x - 18 = 0`

Factor it.

(2x^2 - 9x - 18) = 0

(2x + 3)(x-6) = 0

`x=-(3)/(2) ,6`

Plug that into the Length and Width to find the actually Length and Width.

Length:

`2x - 1\\2*-(3)/(2)-1\\ -3-1\\-4\\`

Width:

`x - 4\\-(3)/(2)-4\\ -(11)/(2)`

Area = Length * Width

Area = - 4* -11/2

Area = 22

Length:

`2x - 1\\2*6-1\\ 12-1\\11\\`

Width:

`x- 4\\6-4\\ 2`

Area = Length * Width

Area = 11 * 2

Area = 22 in^2