Question

the perimeter (p) of a rectangular field is 1,672 ft. suppose the width (w) of the field is 230 feet. what is the length (l) of the field? (p = 2l + 2w)
a 460 feet
b 606 feet
c 656 feet
d 836 feet

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2l+2w$. We know $P = 1672$ and $w = 230$. Substitute these values into the formula: $1672=2l + 2\times230$.

Step2: Simplify the equation

First, calculate $2\times230 = 460$. So the equation becomes $1672=2l + 460$.

Step3: Isolate the term with $l$

Subtract 460 from both sides of the equation: $1672 - 460=2l$, which simplifies to $1212 = 2l$.

Step4: Solve for $l$

Divide both sides of the equation by 2: $l=\frac{1212}{2}=606$.

Answer:

B. 606 feet