Area of rectangles  free lesson with a video
This lesson contains teaching and lots of varied exercises about the area of rectangles, common units of area, twopart rectangles and the distributive property, and shapes composed of rectangular areas. It best suits 4th or 5th grade.
The video below shows you some varied exercises tying in with the area of rectangles.
Area is always measured in squares of some size. We use the superscript “^{2}” with a unit of length to indicate the “squaring”. For example, 120 cm^{2} means 120 square centimeters.  






1. Write a multiplication to calculate the area of these rectangles. Include the units!
a. A = _______ × _______ = ________________ 
b. A = _______ × _______ = ________________ 
c. A = _______ × _______ = ________________ 
2. Find the missing measurements.
a.  b.  c. 
3. Write a multiplication with an
unknown (an equation) for the area. Then solve.
a. ____________________________ ____________________________ 
b. ____________________________ ____________________________ 
4. Write a multiplication with an unknown (an equation) for the area. Then solve.
a. The
area of a rectangle is 45 m., and its one side measures 9 m.
How long is the other side (s)?
________________________________________________________
b. The
area of a rectangular field is 1,800 ft^{2}, and its one side measures 60
ft.
How long is the other side (s)?
________________________________________________________
5. This is the bottom plan for a doghouse. In the grid, the side of each little square is 6 inches in reality. a. What is the area of the doghouse in square inches?
b. Figure out the side lengths in feet. 

6. Write a number sentence for the total area, thinking of one rectangle or two.



7. This is a plan for a twopart clubhouse.
a. Write a
multiplication & addition sentence for the total area,
thinking of one rectangle or two. Solve it.
A = ________ × ( ________ + ________ )
= ________ ×________ + ________ ×________
= ______________________________________
b. How much larger in area is the part A_{2} than the part A_{1}?
8. On a separate paper, draw
these squares.
b. a square with an area of 9 cm^{2}. How long is its side? ______________
c. a square with an area of 1 square foot. How long is its side? ______________9. Write a number sentence (use multiplication, addition, and/or subtraction) for the area of each figure.
a. 
b. 
10. The second floor of a doll house
has three rooms. One room measures 20 cm by 25 cm,
the middle room is 40 cm by
25 cm, and the third one is 20 cm by 25 cm.
a. Draw a sketch of the second floor.
b. Find its area.
11. Draw two different Lshapes
with an area of at least 20 square units.
Write a number sentence for
their areas.
a. _________________________________ _________________________________ 
b. _________________________________ _________________________________ 
12. The picture shows a rectangular piece of land with a house in the middle.
The plot of land measures 48 ft by 48 ft, and the house
is 30 ft by 20 ft.
What is the area of the lawn?
13. Find the areas of the shaded figures.
a.

b.

This lesson is taken from Maria Miller's book Math Mammoth Geometry 1, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.
Math Mammoth Geometry 1
A selfteaching worktext for 4th5th grade that covers angles, triangles, quadrilaterals, cirlce, symmetry, perimeter, area, and volume. Lots of drawing exercises!
Download ($6.90). Also available as a printed copy.