Question 152428This question is from textbook elementary and intermediate algebra concecpts and applications
: Can someone please refresh my memory? I really need it Thanks
Solve the following problems involving applications of polynomials.
a. A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
b. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally.
c. Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.
This question is from textbook elementary and intermediate algebra concecpts and applications
Answer by jojo14344(1513)   (Show Source):
You can put this solution on YOUR website! a.) Same as GEOMETRY PROBLEM #151709
SEE ANSWER#  -------> DONE.
b.)The  is 100ft longer than the  --->
The  side given = 500ft, by PYTHAGOREAN THEOREM:
 , but , so
 --->  , Divide the whole eqn by 2:
 
 --->  , , & 
By Pyth. theorem:
 ------> 
2 values:
 ----------> TO BE USED ----> 
 --------> DO NOT USE
So, 
To check, go back PYTH Theorem: 
 , good!
.
3.) Let  = 1st odd integer
 = 2nd odd integer
 = 3rd integer
condition: square of 3rd is 264 more than suqrae of 2nd: to show,
 --> 
 -----------------------> 1st odd integer
 --------------------> 2nd odd integer
 --------------------> 3rd odd integer
in doubt? go back to the condition:
Thank you,
Jojo
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