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

Answer 1

Given:

Seven equal-sized square photos arranged in a row to form a rectangle.

Total area of the collage is 567 square inches.

To find:

The length of the collage.

Solution:

Let the side of each square be x inches.

Seven equal-sized square photos arranged in a row to form a rectangle.

So, length of rectangle is 7x and width is x.

Area of rectangle is

$Area=Length\times width$

$567=7x\times x$

$567=7x^2$

$\dfrac{567}{7}=x^2$

$81=x^2$

Taking square root on both sides, we get

$x=\pm \sqrt{81}$

$x=\pm 9$

Side cannot be negative. So, x=9 inches.

Now,

Width = 9 inches

Length = 7(9) = 63 inches

Therefore, the length of the rectangle is 63 inches.