Question 89445
THE SQUARE AREA =X^2
THE AREA OF THE RECTANGLE = 2X(X+2)
2X(X+2)-32=X^2
2X^2+4X-32=X^2
2X^2-X^2+4X-32=0
X^2+4X-32=0
(X-4)(X+8)=0
X-4=0
X=4 ANSWER FOR THE SIDES OF THE SQUARE.
SIDES OF THE RECTANGLE ARE 2*4=8 & 2(4+2)=2*8=16. THE SIDES OF THE RECTANGLE ARE 8 & 16.
PROOF
2*4(4+2)-32=4^4
8*6-32=16
48-32=16
16=16