The area of a square mirror is 256 square inches. A rectangular mirror has a width the same as the square mirror's width. Its length is two inches longer than its width. What is the area of the rectangular mirror?
Let the width of the square mirror be w.
Therefore, the area of the square mirror is w^2 = 256 square inches.
So, w = √256 = 16 inches.
The length of the rectangular mirror is 16 + 2 = <<16+2=18>>18 inches.
Therefore, the area of the rectangular mirror is 16 * 18 = <<16*18=288>>288 square inches. Answer: \boxed{288}.
Each page of a photo album holds 3 rows of 4 square photos. The area of each photo is 25 square centimeters. There is 2 cm space between photos and a 3 cm border around the group of pictures. What are the dimensions of one page of the photo album?
The dimensions of each square photo can be found by taking the square root of the area of each photo: √25 = 5 centimeters.
Since there are 4 photos in a row with 2 cm space between them, the total width of the photos and spaces in a row is 4 * 5 + 2 * 3 = 20 + 6 = 26 centimeters.
The total height of the row, including the 2 cm space between rows, is 5 + 2 = 7 centimeters.
Therefore, each row of photos takes up a space of 26 cm in width and 7 cm in height.
Since there are 3 rows on a page, the total width of a page is 26 cm and the total height of a page is 3 * 7 = 21 cm.
Adding the 3 cm border on all sides of the photos, the final dimensions of each page of the photo album are 26 + 2 * 3 = 26 + 6 = 32 cm in width and 21 + 2 * 3 = 21 + 6 = 27 cm in height. Answer: \boxed{(32,27)}.
To find the area of the rectangular mirror, we'll need to find its width and length.
Given that the area of the square mirror is 256 square inches, we can find the length of its sides:
Let's represent the width of the square mirror as "w".
The area of a square is given by the formula: Area = side^2.
In this case, the area is 256 square inches, so we have: 256 = w^2.
To find the value of "w", we can take the square root of both sides of the equation:
√(256) = √(w^2)
16 = w
So, the width of the square mirror is 16 inches.
Now, let's find the width and length of the rectangular mirror:
The width of the rectangular mirror is the same as the width of the square mirror, which is 16 inches.
The length of the rectangular mirror is two inches longer than its width:
Length = Width + 2 = 16 + 2 = 18 inches.
Finally, we can find the area of the rectangular mirror by multiplying its width and length:
Area = Width × Length = 16 × 18 = 288 square inches.
Therefore, the area of the rectangular mirror is 288 square inches.