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The perimeter of a rectangle is 44 inches, and its area is 105 square inches. find the length and width of the rectangle.
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Jul 22, 2018
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The perimeter of a rectangle is 44 inches, and its area is 105 square inches. find the length and width of the rectangle.
Mathematics
high-school
Evangelos
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Evangelos
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Perimeter = (Length + Width)x2
Area = LengthxWidth
P=(L+W)x2
P/2=L+W
L=P/2 - W
Area=(P/2 - W)(W)
A=WP/2-W^2
105=W(44)/2 - W^2
105=22W - W^2
W^2-22W+105=0
(W-7)(W-15)=0
Width= 7 or 15
A=LxW
105=Lx7
105/7=L
L=15
Length is 15 inches, Width is 7 inches.
Michael Simons
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Jul 27, 2018
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Michael Simons
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