SOLUTION: I need help with these two word problems. 1. The perimeter of a rectangle is 24 centimeters. The lenght of the rectangle is four more than the width. What is the length of the rec

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Question 179253: I need help with these two word problems.
1. The perimeter of a rectangle is 24 centimeters. The lenght of the rectangle is four more than the width. What is the length of the rectangle.
2. The sum of three consecutive even intergers is 444. what are the three numbers.

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1. The perimeter of a rectangle is 24 centimeters. The length of the rectangle is four more than the width. What is the length of the rectangle.
---
Formula: perimeter = 2(L + W)
Let width = "x" cm , then length = "x+4" cm
24 = 2(x+4 + x)
12 = 2x+4
2x = 8
x = 4 cm (this is the width)
x+4 = 8 cm (this is the length)
================================
2. The sum of three consecutive even intergers is 444. what are the three numbers.
1st: 2x
2nd: 2x+2
3rd: 2x+4
--------------
Equation:
2x + 2x+2 + 2x+4 = 444
6x + 6 = 444
6x = 438
x = 73
-------------
1st: 146
2nd: 148
3rd: 150
==================
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the perimeter p
length = l
width = w
given:
(1) p+=+24cm
(2) l+=+w+%2B+4cm
---------
p+=+2w+%2B+2l
24+=+2w+%2B+2%2A%28w+%2B+4%29
24+=+2w+%2B+2w+%2B+8
4w+=+24+-+8
4w+=+16
w+=+4
And, from (2),
l+=+w+%2B+4
l+=+4+%2B+4cm
l+=+8cm answer
-----------------------
Call the smallest even integer n
The next even integer will be n+%2B+2
The next even integer will be n+%2B+4
given:
444+=+n+%2B+n+%2B+2+%2B+n+%2B+4
444+=+3n+%2B+6
3n+=+444+-+6
3n+=+438
n+=+146
n+%2B+2+=+148
n+%2B+4+=+150
The 3 cosecutive even integers are 146, 148 and 150
check:
444+=+n+%2B+n+%2B+2+%2B+n+%2B+4
444+=+146+%2B+148+%2B+150
444+=+444
OK