A 5"x7" picture is enlarged to 8"x10". By what percent di its area increase?
area1=35
area2=80
percent= (80-35)/35 * 100
First find the area before and after
5*7 =35
8*10=80
then: (80/35)*100=228.57%
Ans= 228.57%
u can double check that ur answer is correct by simply by multiplying (228.57/100)*35 u should get 80
To find the percentage increase in the area, you need to compare the difference in the areas before and after the enlargement.
First, calculate the area of the original picture:
Original area = length × width = 5 inches × 7 inches = 35 square inches
Next, calculate the area of the enlarged picture:
Enlarged area = length × width = 8 inches × 10 inches = 80 square inches
Now, subtract the original area from the enlarged area to find the difference:
Difference in area = Enlarged area - Original area = 80 square inches - 35 square inches = 45 square inches
To find the percentage increase, divide the difference in area by the original area and multiply by 100:
Percentage increase = (Difference in area / Original area) × 100
= (45 square inches / 35 square inches) × 100
≈ 128.57%
Therefore, the area of the picture increased by approximately 128.57%.