Question

word problem
aneisha is setting up a play space for her new puppy. she will be building a rectangular fence around part of her yard that measures 29 feet by 12 feet. how many square feet of play space will her new puppy have? if you have time, solve in more than one way.

Explanation:

Step1: Recall the formula for the area of a rectangle

The area formula for a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width.

Step2: Substitute the given values

Here, \(l = 29\) feet and \(w=12\) feet. So, \(A=29\times12\).
We can also break \(29\) as \((30 - 1)\). Then \(A=(30 - 1)\times12\).
Using the distributive property \(a\times(b - c)=a\times b-a\times c\), we have \(A = 30\times12-1\times12\).
\(30\times12 = 360\) and \(1\times12=12\).
So, \(A=360 - 12\).

Answer:

\(348\) square feet.