Respuesta :
Answer:
300%
Step-by-step explanation:
Let the length of the carpet be L.
Let the width of the carpet be W.
The original area of the carpet is:
A = L * W = LW
The length and width are enlarged by 60%.
The new length is:
L + (L * 60/100) = L + 0.6L = 1.6L
The new width is:
W + (W * 60/100) = W + 0.6W = 1.6W
The length and width are then reduced by 25%.
The new length is:
1.6L + (1.6L * 25/100) = 1.6L + 0.4L = 2L
The new width is:
1.6W + (1.6W * 25/100) = 1.6W + 0.4W = 2W
The new area will be:
A = 2L * 2W = 4LW
To find the percentage increase in the area, we subtract the original area from the new area and divide by the original area:
4LW - LW = 3LW
% increase is:
[tex]\frac{3LW}{LW} * 100[/tex] = 300%
The area of the final item is 300% greater than the original item.
