Question

f(x)=2x + 244
the given function f represents the perimeter, in centimeters (cm), of a rectangle with a length of x cm and a fixed width. what is the width, in cm, of the rectangle?
a) 2
b) 122
c) 244
d) 488

Explanation:

Step1: Recall perimeter formula

The perimeter formula of a rectangle is $P = 2l+2w$, where $l$ is the length and $w$ is the width. Here, $l = x$ and $P=f(x)=2x + 244$.

Step2: Substitute into formula

Substitute $l=x$ and $P = 2x+244$ into $P = 2l+2w$. We get $2x+244=2x + 2w$.

Step3: Solve for width

Subtract $2x$ from both sides of the equation $2x+244=2x + 2w$. We have $244=2w$. Then divide both sides by 2: $w = 122$.

Answer:

B. 122