Question

Help please

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?


1/2(2x-150)

1/2 (150-2x)

150/2x

150-x

Answer 1

1/2 (150 -2x)

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 = 150

We 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*x

Therefore

L = (150-2*x)*1/2

The correct answer is 1/2 (150 -2x)

I hope this helped you!