SOLUTION: the length of rectangle B is 50% longer than the than the length of rectangle A and the width of rectangle B is 50% shorter than the width of rectangle A.what is the ratio between

Algebra ->  Rectangles -> SOLUTION: the length of rectangle B is 50% longer than the than the length of rectangle A and the width of rectangle B is 50% shorter than the width of rectangle A.what is the ratio between       Log On


   

Question 478146: the length of rectangle B is 50% longer than the than the length of rectangle A and the width of rectangle B is 50% shorter than the width of rectangle A.what is the ratio between the area of rectangle B and the area of rectangle A?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the length of rectangle B is 50% longer than the than the length of rectangle A
and the width of rectangle B is 50% shorter than the width of rectangle A.
what is the ratio between the area of rectangle B and the area of rectangle A?
:
Let L = Length of A
Let W = Width of A
then
LW = area of A
and
1.5L = Length of B
.5W = Width of B
then
1.5L*.5W = .75LW, the area of B
:
Ratio: %28LW%29%2F%28.75LW%29
Cancel LW, make it into integers
1%2F.75 * 4%2F4 = 4%2F3 is A to B Ratio
4:3 is the area of B to A