Asked by chevlios

The length of a rectangle is increased by 50%. By what percent would the width be increased to keep the same area?
a.43/3
b.45/4
c.33-1/3
d.31-1/3
Answered by Steve
length is 3/2
so, width is 2/3
Answered by chevlios
sorry but i don't get it
Answered by Steve
so, if the dimensions are x and y,

50% increase of y is 1.5y. But, you want the new area to be the same. So, if x is multiplied by k, you want

(k)(x)(3/2)(y) = xy
(k)(3/2)(xy) = xy
k(3/2) = 1
k = 2/3

So, if the new width is 2/3 of the old width, that is a decrease of 1/3, or 33-1/3 %
Answered by chevlios
what is k by the way?
Answered by Steve
do you actually read what I write? I explained k, and I used it. Don't make me do your thinking as well as your math!
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