SOLUTION: a book is 5 cm longer than it is wide. if it has an area of 84 sq cm, find its dimension?

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Question 635960: a book is 5 cm longer than it is wide. if it has an area of 84 sq cm, find its dimension?
Answer by sachi(548) About Me  (Show Source):
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a book is 5 cm longer than it is wide. if it has an area of 84 sq cm, find its dimension?
ans:-
let the width= x cm so length=x+5 cm
so area= x(x+5)=84 sq cm
or x^2+5x-84=0
or x^2+12x-7x-84=0
or x(x+12)-7(x+12)=0
or (x-7)(x+12)=0
or x=7 or -12 discarding -ve value x=7
so width is 7 cm & length=12 cm