Queen 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? 150−x 12(2x−150) 12(150−2x) 150+2x

Answer: [tex]\dfrac{1}{2}(150-2x)[/tex]Step-by-step explanation:Given : Queen Parallela has 150 meters of fencing to build her pen for the dragon.i.e. Perimeter of pen P = 150 meters She also knows that the perimeter of a rectangle is P=2ℓ+2w, where ℓ=the length and w=the width.if the width is x meters, then we have [tex]2l+2x=150[/tex]Subtract 2x from both sides , we get[tex]2l=150-5x[/tex]Divide both sides by 2, we get[tex]l=\dfrac{1}{2}(150-2x)[/tex]Hence, the expression would represent the length in terms of the width :[tex]\dfrac{1}{2}(150-2x)[/tex]