Help pleaseQueen Parallela has 150 meters of fencing to build her pen for the dragon. Since she wants to make a rectangular pen, she knows that the area of the pen can be represented as A=ℓw, where ℓ= the length and w=the width. She also knows that the perimeter of a rectangle is P=2ℓ+2w.Which expression would represent the length in terms of the width given that the width is x meters?1/2(2x-150)1/2 (150-2x)150/2x150-x

Answer:1/2 (150 -2x)Step-by-step explanation:You know queen parallela has 150 meters to build her pen. That means that the perimeter of the pen must be 150 (meters), therefore if x is the width and L is the lenght, we have 2*x + 2*L = 150We want the value of L in terms of x, so we will send 2*x to the other side of the equation and we have 2*L = 150 - 2*xThereforeL = (150-2*x)*1/2The correct answer is 1/2 (150 -2x)I hope this helped you!