SOLUTION: The length of a rectangle is 4in longer than its width. If the perimeter of the rectangle is 28in, find its area.

Question 217213: The length of a rectangle is 4in longer than its width. If the perimeter of the rectangle is 28in, find its area.
Found 2 solutions by rfer, ichudov:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
2x+2(x+4)=28
2x+2x+8=28
2x=20
x=5
x+4=9
----------
A=lw
A=9*5
A=45 sq in
Answer by ichudov(507) (Show Source): You can put this solution on YOUR website!
Keep in mind that perimeter is 2*length plus 2*width.

This is a linear system:

which you can solve with the linear solver

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving -1*width to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that width=5. Since , length=9.

Answer: .

RELATED QUESTIONS
The length of a rectangle is 4in longer than its width. If the perimeter of the... (answered by Greenfinch)
the length of a rectangle is 4in longer than its with.if the perimeter is 28in find its... (answered by Deina)
The length of a rectangle is 4in longer than its width. If the perimeter of the... (answered by blwinbbbles)
The length of a rectangle is longer than its width. If the perimeter of the rectangle... (answered by jojo14344)
The length of a rectangle is longer than its width. If the perimeter of the rectangle... (answered by richard1234,solver91311)
The length of a rectangle is longer than its width. If the perimeter of the rectangle is (answered by Alan3354)
The length of a rectangle is 5yds longer than its width. If the perimeter of the... (answered by jorel1380,ewatrrr)
The length of a rectangle is 6cm longer than its width. If the perimeter of the... (answered by rapaljer)
The length of a rectangle is 3 m longer than its width. If the perimeter of the... (answered by midwood_trail,nerdybill)