Rectangle

The area of a rectangle is 893. Its length is 28 larger than the width. What are the dimensions of the rectangle?

Final Answer:

a =  47
b =  19

Step-by-step explanation:

S=893  S=a b a=28+b  S=(28+b) b  893=(28+b) b b228b+893=0 b2+28b893=0  p=1;q=28;r=893 D=q24pr=28241(893)=4356 D>0  b1,2=2pq±D=228±4356 b1,2=228±66 b1,2=14±33 b1=19 b2=47  b=b1=19  a=28+b=28+19=47

Our quadratic equation calculator calculates it.

b=19   Verifying Solution:  S2=a b=47 19=893



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