Bonnie has a rectangular photographic print that is 5 inches wide and 7 inches long. If she multiplies both the length and width by 1.5, how will the perimeter of the print increase?
1.5 * 5 = ?
1.5 * 7 = ?
1.5 * 5 *2 + 1.5 * 7 *2 - 24 = ?
fyi it equals 15 + 21 - 24
so 36 - 24 = (12)
24 is the original perimeter.
P = 2l + 2w
Just wanted to add that information.
You could also just multiply the 24 times 1.5 to get the new perimeter of 36 and then take the difference. The math is a little easier.
To find the perimeter of a rectangle, you add up the lengths of all four sides. The original length of Bonnie's photographic print is 7 inches, and the original width is 5 inches.
The perimeter of the original rectangular print can be calculated as:
Perimeter = 2 × (Length + Width)
Perimeter = 2 × (7 + 5)
Perimeter = 2 × 12
Perimeter = 24 inches
Now, Bonnie multiplies both the length and width by 1.5. The new length will be 1.5 times 7 inches, which is 10.5 inches, and the new width will be 1.5 times 5 inches, which is 7.5 inches.
The perimeter of the new rectangular print can be calculated the same way as before:
Perimeter = 2 × (New Length + New Width)
Perimeter = 2 × (10.5 + 7.5)
Perimeter = 2 × 18
Perimeter = 36 inches
Therefore, by multiplying both the length and width of the print by 1.5, the perimeter of the print increases from 24 inches to 36 inches. The perimeter increases by 12 inches.