SOLUTION: The area A of a rectangle is length l times its width w. Express the area of the rectangle as a function of its width if the perimeter is 2 meters.(Show the solution). a. A = 2w(l

SOLUTION: The area A of a rectangle is length l times its width w. Express the area of the rectangle as a function of its width if the perimeter is 2 meters.(Show the solution). a. A = 2w(l

Algebra.Com

Question 1102210: The area A of a rectangle is length l times its width w. Express the area of the rectangle as a function of its width if the perimeter is 2 meters.(Show the solution).
a. A = 2w(l-w)
b. A = w-w^2
c. A = 2w(w-l)
d. A = lw^2
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
P=2*(length + width)
2=2*(length + width)
1=length + width
length =1-width
A=length * width
substitute
A= width*(1-width)
A=width-width ^2
A=w-w^2

RELATED QUESTIONS
The area (A) of a rectangle is length (l) times its width (w). Express the area of the... (answered by MathLover1)

Express the area, A, of a rectangle as a function of the width, W, if the width of the... (answered by ikleyn)

Given a rectangle whose length is always 5 times of its width. Express the area A of this (answered by solver91311)

The area of a rectangle is 12 square inches. Write the length (l) of this rectangle as a... (answered by stanbon)

Express the area A of a rectangle as a function of the length x if the length of the... (answered by nyc_function)

express the area A of the rectangle as a function of the width W if the length of the... (answered by edjones)

express the perimeter P of a rectangle as a function of the width w if the length of the... (answered by user_dude2008,Fombitz)

the length of a rectangle is twice as long as its width. Express the area of the... (answered by solver91311)

The length of a rectangle is three times its width. Find an expression for the area "A"... (answered by nerdychic16)