SOLUTION: 1. A rectangle has a perimeter of 100 feet. Express its area in terms of one of its sides, x.

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: 1. A rectangle has a perimeter of 100 feet. Express its area in terms of one of its sides, x.       Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 353882: 1. A rectangle has a perimeter of 100 feet. Express its area in terms of one of its sides, x.
Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*note: P = 2*l + 2*w
.
question states
2*l + 2*w = 100ft
l + w = 50ft
.
Let x be the length. The width would then be (50ft - x)
.
A = length *width
A = x (50ft-x)
.
A = 50ft*x -x^2
.
check your answer with one possibility (l=30ft, w = 20ft)
600ft%5E2+=+1500ft%5E2+-+900ft%5E2