What if you were given a rectangle and the size of its base and height? How could you find the total distance around the rectangle and the amount of space it takes up? After completing this Concept, you'll be able to use the formulas for the perimeter and area of a rectangle to solve problems like this.

### Watch This

Area and Perimeter of Rectangles CK-12

### Guidance

To find the
**
area of a rectangle,
**
calculate
, where
is the base (width) and
is the height (length). The
**
perimeter of a rectangle
**
will always be
.

If a rectangle is a square, with sides of length , then perimeter is and area is .

#### Example A

Find the area and perimeter of a rectangle with sides 4 cm by 9 cm.

The perimeter is . The area is .

#### Example B

Find the area and perimeter of a square with side 5 in.

The perimeter is and the area is .

#### Example C

Find the area and perimeter of a rectangle with sides 13 m and 12 m.

The perimeter is . The area is .

Area and Perimeter of Rectangles CK-12

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### Guided Practice

1. The area of a square is . Find the perimeter.

2. Draw two different rectangles with an area of .

3. Find the area and perimeter of a rectangle with sides 7 in and 10 in.

**
Answers:
**

1. To find the perimeter, we need to find the length of the sides.

From this, .

2. Think of all the different factors of 36. These can all be dimensions of the different rectangles.

Other possibilities could be , and .

3. Area is . Perimeter is .

### Explore More

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