Question

1. higher order thinking a rectangular poster has an area of 504 square centimeters. the width of the poster is 14 centimeters. how long is the poster? write equations to show your work.

Explanation:

Step1: Recall the area formula for a rectangle

The area formula for a rectangle is \(A = l\times w\), where \(A\) is the area, \(l\) is the length, and \(w\) is the width. We know that \(A = 504\) square centimeters and \(w = 14\) centimeters. So the equation is \(504=l\times14\).

Step2: Solve for the length \(l\)

To find \(l\), we use the formula \(l=\frac{A}{w}\). Substitute \(A = 504\) and \(w = 14\) into the formula: \(l=\frac{504}{14}\).
Calculate \(\frac{504}{14}=36\).

Answer:

The length of the poster is \(36\) centimeters.