A piece of wire 46 inches long is bent into the shape of a rectangle having width x and length y. express the area A of the rectangle as a function of x.
2007-10-12 15:39:37 · 2 answers · asked by Anonymous in Education & Reference ➔ Homework Help
You want it as x times y, but you need to find a way to represent y using x. since the perimeter is 46, 2y+2x=46
divide by 2 equals y+x=23 subtract x and you get y=23-x
your equation is A=x times y
we just proved that y=23-x
A=x times 23-x
simplified that equals 23x-xsquared
2007-10-12 15:52:34 · answer #1 · answered by julpanther 3 · 0⤊ 0⤋
A = x[(46-2x)/2)]
You will have two sides whose lengths are x. The other sides will have some length, y. To find the length of y, subtract 2x from 46, then divide by 2.
2007-10-12 22:46:15 · answer #2 · answered by SoulDawg 4 UGA 6 · 1⤊ 0⤋