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