SOLUTION: A rectangle has an area of 126 cm2 and a perimeter of 50 cm. What are its dimensions?

Question 1043117: A rectangle has an area of 126 cm2 and a perimeter of 50 cm. What are its dimensions?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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A rectangle has an area of 126 cm2 and a perimeter of 50 cm. What are its dimensions?
~~~~~~~~~~~~~~~~~~~~~~~~~~`

L + W = ,
LW = 126.

or

L + W = 25,   (1)
LW = 126      (2)

Express L = 25-W from (1) and substitute it into (2). You will get

(25-W)*W = 126,  or

 = .

Solve this quadratic equation for W. Factor the left side

(W-7)*(W-18) = 0

Answer.  The width is 7 cm. The length is 18 cm.

For many other similar solved problems see the lesson
- Problems on the area and the perimeter of a rectangle
in this site.

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