Question

1. a path around a rectangular field measures 300 meters in length. if the length of the field is 100 meters, what is the width of the field? a. 25 meters b. 100 meters c. 50 meters d. 15 meters

Explanation:

Step1: Recall the perimeter formula

The perimeter \(P\) of a rectangle is \(P = 2(l + w)\), where \(l\) is length and \(w\) is width.

Step2: Substitute known values

Given \(P=300\) meters and \(l = 100\) meters. So \(300=2(100 + w)\).

Step3: Solve for \(w\)

First, divide both sides by 2: \(\frac{300}{2}=100 + w\), which gives \(150=100 + w\). Then subtract 100 from both sides: \(w=150 - 100=50\) meters.

Answer:

C. 50 meters