Question

a photo collage consists of seven equal - sized square photos arranged in a row to form a rectangle. if the total area of the collage is 567 square inches, what is the length of the collage?
___ inches

Explanation:

Step1: Find area of one square photo

Let the area of one square photo be $x$. Since there are 7 photos and total area is 567 square - inches, we have $7x = 567$. Solving for $x$ gives $x=\frac{567}{7}=81$ square inches.

Step2: Find side - length of one square photo

Let the side - length of a square photo be $s$. Since the area of a square is $A = s^{2}$ and $A = 81$, then $s=\sqrt{81}=9$ inches.

Step3: Find the length of the collage

The collage is formed by 7 square photos arranged in a row. The length of the collage is the sum of the side - lengths of the 7 square photos. So the length $L=7s$. Substituting $s = 9$ inches, we get $L = 7\times9 = 63$ inches.

Answer:

63