Rectangle 78924

The length of the rectangle is 1 cm more than its width. Its area is 4 cm2. What is its width?

Correct answer:

b =  1.5616 cm

Step-by-step explanation:

a=1+b S=4 cm2  S = ab = (1+b) b  (1+b) b=S  (1+b) b=4 b2+b4=0  p=1;q=1;r=4 D=q24pr=1241(4)=17 D>0  b1,2=2pq±D=21±17 b1,2=0.5±2.061553 b1=1.561552813 b2=2.561552813  b=b1=1.56161.5616 cm a=1+b=1+1.56162.5616   Verifying Solution:  S2=a b=2.5616 1.5616=4

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