Question 305674
find the dimensions of a rectangle with perimeter 36 square units and area 65 square units.which of the following could be the dimensions of the rectangles?can you please explain this to me?
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Perimeter = 2(L+W)=36 units
Area = LW = 65 sq. units
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L+W = 18
LW = 65
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L = 18-W
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Substitute for "L":
(18-W)W = 65
-W^2 + 18W - 65 = 0
 W^2 - 18W + 65 = 0
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Factor:
(W-13)(W-5) = 0
W = 13 or W = 5 units

If Width = 13, Length = 5 units
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Cheers,
Stan H.