Mathematics
Find the Length of the Sides of the Two Squares

### Question Description

I’m studying for my Algebra class and need an explanation.

the length of each side of the square is 3 in more than 3 inches more than each side of smaller square. The sum of the area of the square is 149  in power of 2. Find the lenght of the sides of the 2 squares.

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Let x be the side of the smaller square

Then (x+3) will be the side of the larger square

x2+(x+3)2  = 149

2x2+6x+9 =149

2x2+6x -140 =0

x2+3x-70=0

x2+10x-7x-70=0

x(x+10)-7(x+10)=0

(x+10)(x-7) =0

X= 7 or x=-10

Thus the smaller square has side 7

Thus the larger square has side 10

University of Virginia
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