Question 1040549
side of square=s
dimensions of rectangle are s and s+4
Area of square is s^2
Area of rectangle is s^2+4s, product of l*w
They add to 240 cm^2
Therefore, s^2+s^2+4s=240
2s^2+4s-240=0
2(s^2+2s-120)=0
(s+12)(s-10)=0
s=10,-12
use positive root only
square area is 10*10=100
rectangle area is 10*14=140
They add to 240 sq cm
side is 10 cm