A new queen size bed sheet measures 210cm by 240 cm. The lenght and width shrinks by 2 percent after the first wash
a. What are the dimensions of the sheet after washing
b. What is the percent decrease in the area of the sheet
a) 205.8cm by 235.2cm b)3.96%
To find the dimensions of the sheet after washing, we need to calculate the new length and width after a 2% shrinkage.
a. New Length after Washing:
The length shrinks by 2% after washing, which means it reduces by (2/100) * 210 cm = 4.2 cm.
Therefore, the new length after washing is 210 cm - 4.2 cm = 205.8 cm.
New Width after Washing:
The width also shrinks by 2% after washing, which means it reduces by (2/100) * 240 cm = 4.8 cm.
Therefore, the new width after washing is 240 cm - 4.8 cm = 235.2 cm.
Therefore, the dimensions of the sheet after washing are 205.8 cm by 235.2 cm.
b. Percent Decrease in Area:
To find the percent decrease in the area of the sheet, we need to compare the original area with the new area after washing.
Original Area:
The original area of the sheet is given by the product of its original length (210 cm) and width (240 cm), which equals 210 cm * 240 cm = 50,400 cm^2.
New Area:
The new area of the sheet after washing is given by the product of its new length (205.8 cm) and width (235.2 cm), which equals 205.8 cm * 235.2 cm = 48,372.96 cm^2.
Percent Decrease in Area:
The difference between the original area and the new area is 50,400 cm^2 - 48,372.96 cm^2 = 2,027.04 cm^2.
To calculate the percent decrease in area, we divide the difference by the original area and multiply by 100:
Percent Decrease = (2,027.04 cm^2 / 50,400 cm^2) * 100% ≈ 4.02%
Therefore, the percent decrease in the area of the sheet after washing is approximately 4.02%.
A) .98(210) and .98(240)
B) (210)(240)
(.98)(210)(.98)(240)
Percent decrease = diff in your two answer/ original (210)(240)