A wire 100 inches long is to be cut into four pieces to form a rectangle whose shortest side has a length of x. Express the area A of the rectangle as a function of x?

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Answer 1 · 2015-12-23T23:52:15

$A=50x-x^2$ square inches

If the perimeter is $100$ inches
then the length of one width and one length must be $50$ inches

If the width is $x$ inches
then the length must be $50-x$ inches

Since Area = length $xx$ width

$"Area" = (50-x) xx (x) = 50x-x^2$

Answer 2 · 2015-12-23T23:54:55

First, find the length of the longest side ..

If $2x$ is used for the two short sides, then each of the long sides is:

length of long side $=(100-2x)/2=50-x$

Area = long side x short side

Area $=(50-x)xx(x)=50x-x^2$

hope that helped