SOLUTION: The length of a rectangle is 2 meters more than its width. If the area is 35 square meters, what are the length and width?

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Question 408521: The length of a rectangle is 2 meters more than its width. If the area is 35 square meters, what are the length and width?

Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

length of a rectangle is 2 meters more than its width.

Let x and (x+2) represent the width and length respectively

Question states***

x(x+2) = 35 m^2

Solving for x

 x^2 + 2x - 35 = 0

factoring

(x+7)(x-5)= 0 Note:SUM of the inner product(7x) and the outer product(-5x) = 2x

 (x+7)=0  |tossing out negative solution for length

 (x-5)= 0  x = 5m, the width.  The length is 7m.  (5m + 2m)

CHECKING our Answer***

  5m*7m = 35 m^2