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A rectangle's width is x and its length is 2x-1. Its area is 21. Find its dimensions.

my work so far:

21 = x(2x +1)
21 = 2x^2 + x


I was wondering how I would continue to solces this problem.
8 years ago

Answers

Steve
next steps:

2x^2+x-21 = 0
(2x+7)(x-3) = 0
x = -7/2 or 3

since real-world figures do not have negative dimensions, the rectangle is thus 3x7.

Which you probably already guessed, since the only factors of 21 are 3 and 7!
8 years ago

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