We want to see how some changes in the measures of a rectangle affect the area of the given rectangle.
We will see that the new area is 0.84 times the original area (meaning that the area decreases by 16%).
We will have.
First, we know that for a rectangle of length L and width W the area is given by:
A = L*W
Now, if we increase the length bt 40%, the new length will be:
L' = L + (40%/100%)*L = L*1.4
And if the width is decreased by 40%, the new width will be:
W' = W - (40%/100%)*W = W*0.6
The new area is given by:
A' = L'*W' = (L*1.4)*(W*0.6) = (L*W)*(1.4*0.6) = 0.84*(L*W)
Where L*W is the area of the original rectangle, so we can write:
A' = 0.84*A
Meaning that the area decreased, the new area is 0.84 times the original area (we can actually see that the area decreased by 16%).
If you want to learn more, you can read:
https://brainly.com/question/15218510
