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?

Explanation:

Step1: Find area of one square photo

There are 7 equal - sized square photos, and the total area of the collage is 567 square inches. So the area of one square photo, let's call it \(A\), is given by dividing the total area by the number of photos.
\(A=\frac{567}{7} = 81\) square inches.

Step2: Find side length of one square photo

For a square, the area \(A = s^{2}\), where \(s\) is the side length. We know \(A = 81\), so we solve for \(s\):
\(s=\sqrt{81}=9\) inches.

Step3: Find length of the collage

The collage is made by arranging 7 square photos in a row. So the length of the collage is the number of photos times the side length of one photo.
Length \(=7\times s=7\times9 = 63\) inches.

Answer:

63