**Perimeter and Area**

of Rectangular Figures

of Rectangular Figures

I want to build a fence in my backyard for my dog, Raven. I plan to make one side 8 feet wide and another side 17 feet long. How much fencing will I need? How much space will Raven have to run around in?

Essential Question

How do we use perimeter and area to solve real-world problems?

Let's Review:

What does perimeter mean?

Perimeter is the distance around a shape.

To find the perimeter of a rectangle, you must add all the sides together.

2

2

3

3

What is the perimeter of this rectangle?

5

5

2

2

P = L + W + L + W

3ft.

4 ft.

Amy wanted to find the perimeter of her bedroom door. She measured that it was 8 feet wide and 2 feet long. What was the perimeter of Amy's door?

Let's Review:

What does area mean?

Area is the amount of space inside a shape.

We measure area in square units.

Square units are the number of squares that will fit inside a shape.

To find the area of a rectangle, you must multiply the length of one side by the width of another side.

Area = length x width

length

width

length

width

**What is the area of this rectangle?**

4 in.

5 in.

8 feet

6 feet

3 in.

4 in.

Kayla wanted to paint her wall. She needed to know the area of her wall so she knew how much paint she would need. If her wall is 9 feet tall and 8 feet wide, what is the area of her wall?

or

P = (2 x L) + (2 x W)

or

P = 2 x (L+W)

(let's see if you can figure out if we need to apply the formula for area or perimeter)

A Hershey Bar measures 4 inches long and 2 inches wide. What is the perimeter of the Hershey Bar?

A farmer needs to buy fertilizer to spread on his garden. The garden is 20 ft by 15 ft rectangular. How many square feet is the garden?

Jake builds a fence around his garden. It is 6 feet long and 3 feet wide. What is the perimeter of his fence? What area does his fence cover?

Elena wants new carpeting for her bedroom. Her bedroom is a 9 ft by 7 ft rectangle. If carpeting costs$2 per square meter, how much will it cost to lay carpet for her entire bedroom?

Essential Question

How do we use perimeter and area to

solve real-world problems?

Directions:

Complete the word problems on the front of the page.

Do exactly what it tells you to do.

On the back, there is a challenge question if you want to solve it after you have finished the front page. You do not have to do this problem if you do not want to but I would like you to try it.

If you finish early, there is a place for you to create your own word problem with perimeter and area and solve it on the bottom of the page.

**Pair Share**

Harry has a rectangular garden that is 6 ft long and 11 ft wide.

What length of fencing does he need to fence in his entire garden?

Angelina bought a blanket. She wants to put a ribbon around the edge. How long should the ribbon be?

Nicholas is ordering new carpeting for his bedroom? How much does he need to order?

Mr. Chen is putting tile down in his kitchen.

The kitchen is 10 feet long and 8 feet wide.

The tile costs $5 per square foot. How

much will it cost Mr. Chen to tile his

kitchen?

At the end of the lesson, you will be able to answer this question.

First, draw and label your rectangle.

Second, find the area by applying the formula for area.

Third, find the perimeter by applying the formula for perimeter.

**Extra**

Practice

Practice

Fencing goes around the garden.

So we are looking for the perimeter in this problem.

This is a two-part problem.

Now let's try some real-world problems!

In this problem, we need to find the area of his room so we know how much carpet to order.

Now let's try some

real-world problems!

The word "around" tells us that we are going to find the perimeter.

Sometimes word problems will tell you what they want you to find.

But sometimes they don't tell you what they want you to find.

Like this...

Like this...

And like this...

Remember, sometimes word problems tell you what they want you to find.

Like this...

And sometimes they don't tell you what they want you to find.

The clue "square feet" tells you to find the area.

This is a "two-part problem."

First, you need to find the ___________.

area

Next, you need to multiply the area by $5.

Let's Review Real-World Problems

If the question is asking you to find the length around a shape, it is you to find the perimeter.

First you need to find the ______________.

area

Next, you need to multiply the area by $2.

In this question,

they want you

to find both the

area and perimeter.

If the question is asking you to find the space inside a shape, it's you to find the area.

Take a minute and think about the essential question.

Share your thoughts with a friend.

Write your thoughts down.

P= 5+5+2+2 or P=(2x5)+(2x2)

P=12

P= 8+8+2+2

or

P=(2x8)+(2x2)

P=20ft.

P= 11+11+6+6 or P=(2x11)+(2x6)

P=34ft.

P=14ft.

A=LxW

A=20 square inches

A=Lxw

A=9x8

A=72 square feet

A=LxW

A=8x6

A=48 square feet

A=LxW

A=20x15

A=300 square feet

A=LxW

A=10x8

A=80 square feet

80

x 5

$400

A=lxw

A=9x7

A=63 square ft.

63x2=$126

A=lxw

A=6x3

A=18 squ. ft.

P=6+6+3+3

P=18 ft.