SOLUTION: the length of a rectangle is 8cm more than its width. If the area of the rectangle is 90 cm2,find the dimensions.
lockhart_barbara@sbcglobal.net
Algebra.Com
Question 384604: the length of a rectangle is 8cm more than its width. If the area of the rectangle is 90 cm2,find the dimensions.
lockhart_barbara@sbcglobal.net
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let
represent the width. Then
must represent the width. The area of a rectangle is the product of the width and the length, so:
This doesn't factor, so use the quadratic formula:
Since we are looking for a positive measure of length, discard the negative root.
Then adding 8 to get the length:
Multiplying the two values to check that the product is indeed 90 is left as an exercise for the student.
John

My calculator said it, I believe it, that settles it
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