## The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the rectangle?

Question

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## Answers ( )

Let length = l

width = w

Acc. to the question = l = w – 8

Area = 9 units

Area of a rectangle = w ( w – 8) = 9

= w² – 8w = 9

= w² – 8w – 9 = 0

= w² – 9w + w – 9

= w( w – 9 ) 1( w-9)

= (w + 1) ( w-9)

= w = -1, 9

= Since width cannot be equal to a negative value, w = 9 units

l = w – 8

l = 9 – 8

∴length = 1 unit