If the length and width of a rectangle are each multiplied by 3, how would the new area of the rectangle compare with the original area of the same rectangle?
I'm not sure about this one-these are my choices:my choice is A but I'm not sure
a. the new volume will be 1/2 as big as the original
b. the new volume will be 2 times bigger than the original
c. the new volume will be 1/8 as big as original
d. the new volume will be 8 times bigger than original
original area:
A = L*W
new area:
A' = (3L)*(3W)
A' = 9*(L*W) or
A' = 9*A
thus there is no correct answer in the choices, since the new area is 9 times greater than the original.
hope this helps~ :)
oh, i see.. the choices are wrong. i guess you typed it wrong because "volume" is in the choices.. it must be "area" since it is the required. (and rectangles don't have volume)
To determine how the new area of the rectangle compares to the original area, you need to consider the relationship between the length, width, and area of a rectangle.
The formula to calculate the area of a rectangle is:
Area = Length * Width
In this case, let's assume the original length is L and the original width is W. When both the length and width are multiplied by 3, the new length becomes 3L, and the new width becomes 3W.
To find the new area, we substitute the new length and width into the formula:
New Area = New Length * New Width
= (3L) * (3W)
= 9LW
Comparing the new area (9LW) with the original area (LW), we can see that the new area is 9 times larger than the original area. Therefore, the correct answer is:
d. the new volume will be 8 times bigger than the original. (Note: In the question, it asks for volume, but since we are dealing with a rectangle, we should refer to it as area, not volume.)