SOLUTION: If you double one of the sides of a rectangle, how will the area change? and if you double one of the sides, what do you need to do to the other side so that area does not change?

Algebra ->  Surface-area -> SOLUTION: If you double one of the sides of a rectangle, how will the area change? and if you double one of the sides, what do you need to do to the other side so that area does not change?      Log On


   

Question 808463: If you double one of the sides of a rectangle, how will the area change? and if you double one of the sides, what do you need to do to the other side so that area does not change?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The second question is more interesting.

Let x and y be the sides of a rectangle.
Area, A=xy.
You want to make x become 2x, but do something to y, some factor applied, so that the area is still A in value.

A=%282x%29%28ky%29 and A=xy.
A=2k%28xy%29
We know already that A=xy, so
xy=2k%28xy%29
xy%2F%282xy%29=k
highlight%28k=%281%2F2%29%29

DESCRIBED ANSWER: If you double the length of one side of a rectangle and divide the other side length by two, the resulting area stays the same.

You should be able to perform the solution for the first part of the question very easily if you understood the second part which I answered above.