Perimeter and Area Word Problems

Perimeter and AreaCan you tell the difference?

Helpful HintsSteps for solving perimeter or area word problems:

Look for clue words, decide: perimeter or area?Draw a pictureDecide on a formulaSolve

Example One

Stephanie wants to build a fence around her garden to keep the rabbits out! The length of her garden is 4 feet and the width is 6 feet. How much fencing will she need?

Example One1. First, look for clue words!

Stephanie wants to build a fence around her garden to keep the rabbits out! The length is 4 feet and the width is 6 feet. How much fencing will she need?

The words “fence” and “around” tell me I’m going to be finding perimeter.

Example One2. Next, draw a picture.

Stephanie wants to build a fence around her garden to keep the rabbits out! The length is 4 feet and the width is 6 feet. How much fencing will she need?

4 ft.

6 ft.

3. I have drawn a rectangle. I will use the formula for the

perimeter of a rectangle.

Example One

4. I will solve using the following formula:

(2 x l) + (2 x w)(2 x 4) + (2 x 6)

8 + 1220 ft.

Now it’s your turn!Take a look at these problems. We will:

1. Look for clue words and decide: perimeter or area?2. Draw a picture.3. Decide what formula to use.4. Solve.

Problem #1

Linda was placing new carpet inside her room. She measured the width of her room. It was 12 feet. The length was 16 feet. How much carpet did Linda need to cover her floor?

1. Perimeter or Area?

2. Draw a picture.

3. What formula will you use?

4. Solve

Linda was placing new carpet inside her room. She measured the width of her room. It was 12 feet. The length was 16 feet. How much carpet did Linda need to cover her floor?

1. Perimeter or Area?

2. Draw a picture.

3. What formula will you use?

4. Solve

12 ft.

16 ft.

(l x w)

l x w12 x 16192 ft.²

Linda was placing new carpet inside her room. She measured the width of her room. It was 12 feet. The length was 16 feet. How much carpet did Linda need to cover her floor?

SOLUTION:

1. Perimeter or Area?

2. Draw a picture.

3. What formula will you use?

4. Solve.

Problem #2

Larry was covering a square bulletin board with paper. One side was of the square was 3 ft. How much paper did he need?

Larry was covering a square bulletin board with paper. One side was of the square was 3 ft. How much paper did he need?

1. Perimeter or Area?

2. Draw a picture.

3. What formula will you use?

4. Solve

3 ft. (l x w)

l x w3 x 39 ft.²

Larry was covering a square bulletin board with paper. One side was of the square was 3 ft. How much paper did he need?

SOLUTION:

Problem #21. Perimeter or

Area?

2. Draw a picture.

3. What formula will you use?

4. Solve.

Karen wants to put ribbon around her square frame. One side is 17 inches. How much ribbon will she need?

Karen wants to put ribbon around her square frame. One side is 17 inches. How much ribbon will she need?

1. Perimeter or Area?

2. Draw a picture.

3. What formula will you use?

4. Solve

17 in. 4 x s

4 x s4 x 1768 in.

Karen wants to put ribbon around her square frame. One side is 17 inches. How much ribbon will she need?

SOLUTION:

Closure

You learned a 4 step process. Do you remember the 4 steps? Write these on your slate.

What do these 4 steps help us do?