A 5" by 7" picture is enlarged to 8" x 10". By what percent did it's area increase?
5 * 7 = 35 square inches
8 * 10 = 80 square inches
(80 - 35) / 35 = ?
Multiply the decimal answer by 100 to find the percentage.
To find the percent increase in the area, we first need to calculate the initial area of the 5" x 7" picture and the final area of the 8" x 10" picture.
Initial area = length x width = 5" x 7"
Final area = length x width = 8" x 10"
Initial area = 35 square inches
Final area = 80 square inches
To calculate the percent increase, we can use the following formula:
Percent Increase = (Final Area - Initial Area)/Initial Area x 100%
Substituting the values:
Percent Increase = (80 - 35)/35 x 100%
Percent Increase = 45/35 x 100%
Percent Increase ≈ 128.6%
Therefore, the area of the picture increased by approximately 128.6%.
To find the percent increase in the area, we need to compare the areas before and after the enlargement.
The area of a rectangle is determined by multiplying its length by its width. Initially, the picture was 5" by 7", so its area was 5 inches multiplied by 7 inches, which equals 35 square inches.
After the enlargement, the picture became 8" by 10". The new area is obtained by multiplying 8 inches by 10 inches, resulting in 80 square inches.
To calculate the percent increase, we need to find the difference between the new and old area, divide it by the original area, and then multiply by 100.
The increase in area is 80 - 35 = 45 square inches.
The percent increase is (45 / 35) * 100 ≈ 128.57%.
Therefore, the area of the picture increased by approximately 128.57%.