3.6 Problem Solving
Objective:
Use algebraic methods to solve real-world application problems involving perimeter
and consecutive integers
1. The length of a rectangle is 6 inches more than its width. The perimeter of the rectangle is 24
inches. What is the length of the rectangle?
What do we know?
What are we trying to find?
What could we use to solve?
2. A gardener wants to put a fence around his pumpkin patch. The length of the patch is 4 ft more
than its width. He has 24 feet of fencing to use. What must the dimensions of the pumpkin patch
be?
What do we know?
What are we trying to find?
What could we use to solve?
3. You’re trying to put new tile in your bathroom. The width of your bathroom is 2 yds less than its
length. You also know that the perimeter of your room is 16 yds. What are the dimensions of your
room?
4. The width of a rectangle is 2cm less than its length. The perimeter of the rectangle is 16 cm. What
is the length of the rectangle?
VOCABULARY ALERT!!!
Consecutive:
Integer:
5. The sum of three consecutive integers is 48. What are the integers?
6. The sum of three consecutive integers is 147. Find the integers.
7. The sum of three consecutive even integers is 54. What are the integers?