SOLUTION: the sum of the area of two square 73 the sides of the second square are 5 yards longer than the sides of the first square what are the dimension of each square

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Question 1151728: the sum of the area of two square 73 the sides of the second square are 5 yards longer than the sides of the first square what are the dimension of each square
Answer by ikleyn(53751) About Me  (Show Source):
You can put this solution on YOUR website!
.

x%5E2 + %28x%2B5%29%5E2 = 73


x%5E2+%2B+x%5E2+%2B+10x+%2B+25 = 73


2x%5E2+%2B+10x+-+48 = 0


x%5E2+%2B+5x+-+24 = 0


(x-3)*(x+8) = 0


Of the two root,  x= 3  and  x= -8,  only positive  x= 3 is the solution.


ANSWER.  The sides are 3 yards and 8 yards.


CHECK.  3^2 + (3+5)^2 = 9 + 64 = 73.    ! Correct !