Jeremy enlarged a picture.The length of the original picture is 8cm and the width is 5cm.The length of the enlarged picture is 10cm and the width is 7cm.
A.What percent is the 10cm length of the 8cm length?
B.What is the area of each picture?By what percent is the area changed?
pls show the solution
see earlier post of the same question
To find the percent change in length, you can use the following formula:
Percent Change = (New Value - Original Value) / Original Value * 100
A. What percent is the 10cm length of the 8cm length?
Using the formula, we can calculate the percent change in length:
Percent Change = (10 - 8) / 8 * 100
= 2 / 8 * 100
= 25%
So, the 10cm length is 25% of the 8cm length.
B. What is the area of each picture? By what percent is the area changed?
The formula to calculate the area of a rectangle is:
Area = Length * Width
For the original picture:
Area = 8cm * 5cm
= 40cm²
For the enlarged picture:
Area = 10cm * 7cm
= 70cm²
To find the percent change in area, you can use the following formula:
Percent Change = (New Value - Original Value) / Original Value * 100
Percent Change = (70 - 40) / 40 * 100
= 30 / 40 * 100
= 75%
So, the area of the enlarged picture is 75% larger than the original picture.