Answered

IDNLearn.com provides a seamless experience for finding accurate answers. Our experts are available to provide in-depth and trustworthy answers to any questions you may have.

Suppose that a rectangle has a perimeter of 24 meters. Express the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) = ??

Sagot :

Luanaidn
[tex]x-\ length\\\\y-\ width\\\\ A(x)=xy\\\\ Perimeter=2x+2y\\ 24=2x+2y\ \ \ |Subtract\ 2x\\ 24-2x=2y\ \ \ |Divide\ by\ 2\\ y=\frac{24-2x}{2}=12-x\\\\ A(x)=x(12-x)=12x-x^2\\\\ Area\ of\ rectngle\ can\ be\ expressed\ as\ A(x)=-x^2+12x[/tex]
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.