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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Final Answer

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

X=-10 is not admissible

Thus the smaller square has side 7

Thus the larger square has side 10


madhavant (2757)
University of Virginia

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