SOLUTION: I need some help with 2 word problems... the sum of two positive integers is 25. The difference of their squares is 275. what are the two integers? find the dimensions of a

Algebra ->  Functions -> SOLUTION: I need some help with 2 word problems... the sum of two positive integers is 25. The difference of their squares is 275. what are the two integers? find the dimensions of a      Log On


   

Question 277568: I need some help with 2 word problems...
the sum of two positive integers is 25. The difference of their squares is 275. what are the two integers?

find the dimensions of a rectangular rug whose length is 5 feet longer than its width and whose area is 66 square feet
thanks so much :)
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=25 "the sum of two positive integers is 25"
x%5E2%2By%5E2=275 "The difference of their squares is 275"
id use the elimination method
x%2By=25 = x%5E2%2By%5E2=25%5E2 = x%5E2%2By%5E2=625
x%5E2%2By%5E2=275
well doesnt come out well at all so i did guess and check and 12&13,11&14,10&15,9&16,dont work and 17^2 by itself is more than 275 so there is no answer since they are looking for integers and not decimals


L=5W
a=LW
66=5WW
66=5W%5E2
66%2F5=W%5E2
sqrt%2866%2F5%29=W
L=5W
L=5%28sqrt%2866%2F5%29%29