The rectangle below has an area of x^2−4x−12, squared, minus, 4, x, minus, 12 square meters and a length of x+2x+2 x+2 x, plus, 2 meters. What expression represents the width of the rectangle?

Step-by-step explanation:

we know that

The area of rectangle is given by the formula

we have

substitute

Solve the quadratic equation of the left side

The formula to solve a quadratic equation of the form

is equal to

in this problem we have

so

substitute in the formula

therefore

substitute in the formula of area

solve for W

simplify

jml angle lkj & angle mj = lm