a square picture frame occupies an area of 112 ft squared. what is the length of each side of the picture in simplified radical form
Mathematics · Middle School · Tue Nov 03 2020
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The area of a square can be represented as A = l*w where l is length and w is width. Since square has equals sided, it means that the measurement of length of a square is equal to the measurement of the width of a square. Therefore, an alternative is A = a². Substitute the value of area to get the length of each side.
> A = a²
> 112 = a²
> √112= √a²
> √112= a
Simplify √112;
> √112
> √16×7
> √4²×7
> 4√7
The length of each side is 4√7.