Question 988637
L=rectangle length
W=width
side of a square is S
S-48=W
2S+128=L  since square has width S.
Rectangle has area (2S+128)(s-48)=S^2
2S^2-96S+128S-6144=S^2
S^2+32S-6144=0
S=-(1/2){-32 +/- sqrt (32^2+4*6144)}, the sqrt term equals 160; [-32+160]/2  using quadratic formula
S=64
W=16
L=128*2=256
Area of square is 64^2=4096 cm^2
Area of rectangle is 256*16=4096 cm^2
Rectangle is 256 cm by 16 cm