CH07-03 lesson

Area and Perimeter of Rectangles Learning Activity

A focused Grade 4 learning session for Area and Perimeter of Rectangles using visual models, worked examples, strategy guidance, and a short mastery check.

15
minutes
6
lesson parts
11
practice items
Learning goal

Students will apply area and perimeter formulas to rectangles in real-world and mathematical problems.

Student goal: I can use formulas to find the area or perimeter of a rectangle.

concept

Learn the Idea

Area and Perimeter of Rectangles means measuring how much flat space a figure covers by using equal-sized square units.

  • Use square units that cover the figure without gaps or overlaps.
  • Count rows and columns when the unit squares are arranged in an array.
  • Connect repeated addition to multiplication when finding area.
  • Break complex figures into smaller rectangles when that makes the work clearer.
visual model

See the Math

Visual Model 1

Question: What is the area of the rectangle shown above?

Visual Model 1

  • A. \(10\) sq cm
  • B. \(20\) sq cm
  • C. \(21\) sq cm
  • D. \(28\) sq cm

Why it works: From the diagram, length is \(7\) cm and width is \(3\) cm. Area \(= 7 \times 3 = 21\) sq cm.

Answer: \(21\) sq cm

worked example

Follow a Worked Example

Example 1

Question: Each square in the grid above is \(1\) square unit. How many square units cover the rectangle?

Example 1

  • A. \(7\) sq units
  • B. \(10\) sq units
  • C. \(12\) sq units
  • D. \(14\) sq units
  1. Count the grid squares: \(4\) columns \(\times\) \(3\) rows \(= 12\) square units.

Answer: \(12\) sq units

Example 2

Question: What is the area of the shaded rectangle above?

Example 2

  • A. \(9\) sq m
  • B. \(18\) sq m
  • C. \(20\) sq m
  • D. \(25\) sq m
  1. From the diagram: length is \(5\) m and width is \(4\) m.
  2. Area \(= 5 \times 4 = 20\) sq m.

Answer: \(20\) sq m

real world

Connect It to a Real Situation

Problem 1

Question: A garden is shaped like a rectangle. It is \(9\) feet long and \(5\) feet wide. How many feet of fencing are needed to go around the garden?

  • A. \(14\) ft
  • B. \(28\) ft
  • C. \(45\) ft
  • D. \(36\) ft

Why it works: To find how much fencing goes around the garden, we calculate perimeter: \(P = 2(9) + 2(5) = 18 + 10 = 28\) ft.

Answer: \(28\) ft

strategy

Avoid Mistakes and Choose a Strategy

  • Counting only the outside squares instead of all squares inside the figure.
  • Leaving gaps or overlaps when using unit squares.
  • Multiplying side lengths before checking whether the figure is a rectangle.
  • Forgetting to write square units with an area answer.
  • Trace the rectangle or figure before counting.
  • Use rows and columns to organize unit squares.
  • Write an equation after the model makes sense.
  • Check whether the answer needs square units.
summary

Remember the Key Idea

Area and Perimeter of Rectangles becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.

GOLDEN RULE

Area means every square unit inside the figure.

Guided to independent practice

Solve before opening the answer

Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.

warmup

2 questions
G4-C07-T03-Q001 About 1 min

A rectangle has a length of \(8\) ft and a width of \(5\) ft. What is its area?

  1. A \(13\) sq ft
  2. B \(26\) sq ft
  3. C \(40\) sq ft
  4. D \(45\) sq ft
Check answer and explanation

Answer C: \(40\) sq ft

To find area, we multiply length times width: \(8 \times 5 = 40\) sq ft.

G4-C07-T03-Q002 About 1 min

A rectangle has a length of \(12\) m and a width of \(7\) m. What is its perimeter?

  1. A \(19\) m
  2. B \(38\) m
  3. C \(84\) m
  4. D \(76\) m
Check answer and explanation

Answer B: \(38\) m

Perimeter is the distance around the rectangle. Use the formula \(P = 2\ell + 2w = 2(12) + 2(7) = 24 + 14 = 38\) m.

guided

1 question
G4-C07-T03-Q003 About 1 min

Diego draws a rectangle with a length of \(6\) cm and a width of \(4\) cm. What is the area of his rectangle?

  1. A \(10\) sq cm
  2. B \(20\) sq cm
  3. C \(24\) sq cm
  4. D \(30\) sq cm
Check answer and explanation

Answer C: \(24\) sq cm

Multiply length by width: \(6 \times 4 = 24\) sq cm.

practice

5 questions
G4-C07-T03-Q004 About 1 min

A garden is shaped like a rectangle. It is \(9\) feet long and \(5\) feet wide. How many feet of fencing are needed to go around the garden?

  1. A \(14\) ft
  2. B \(28\) ft
  3. C \(45\) ft
  4. D \(36\) ft
Check answer and explanation

Answer B: \(28\) ft

To find how much fencing goes around the garden, we calculate perimeter: \(P = 2(9) + 2(5) = 18 + 10 = 28\) ft.

G4-C07-T03-Q005 About 1 min

What is the area of a rectangle that is \(10\) inches long and \(3\) inches wide?

  1. A \(13\) sq in
  2. B \(26\) sq in
  3. C \(30\) sq in
  4. D \(33\) sq in
Check answer and explanation

Answer C: \(30\) sq in

Area \(= \text{length} \times \text{width} = 10 \times 3 = 30\) sq in.

G4-C07-T03-Q006 About 1 min

A poster is a rectangle with a length of \(11\) inches and a width of \(8\) inches. What is its perimeter?

  1. A \(19\) in
  2. B \(38\) in
  3. C \(88\) in
  4. D \(43\) in
Check answer and explanation

Answer B: \(38\) in

The perimeter of the poster is \(P = 2(11) + 2(8) = 22 + 16 = 38\) in.

G4-C07-T03-Q007 About 1 min

What is the area of the rectangle shown above?

Area and Perimeter of Rectangles visual for G4-C07-T03-Q007
  1. A \(10\) sq cm
  2. B \(20\) sq cm
  3. C \(21\) sq cm
  4. D \(28\) sq cm
Check answer and explanation

Answer C: \(21\) sq cm

From the diagram, length is \(7\) cm and width is \(3\) cm. Area \(= 7 \times 3 = 21\) sq cm.

G4-C07-T03-Q008 About 1 min

What is the perimeter of the rectangle shown above?

Area and Perimeter of Rectangles visual for G4-C07-T03-Q008
  1. A \(16\) in
  2. B \(32\) in
  3. C \(60\) in
  4. D \(48\) in
Check answer and explanation

Answer B: \(32\) in

The rectangle is \(10\) in long and \(6\) in wide. Perimeter \(= 2(10) + 2(6) = 20 + 12 = 32\) in.

exit

3 questions
G4-C07-T03-Q009 About 1 min

A room is \(15\) feet long and \(12\) feet wide. What is the area of the floor?

  1. A \(27\) sq ft
  2. B \(54\) sq ft
  3. C \(180\) sq ft
  4. D \(120\) sq ft
Check answer and explanation

Answer C: \(180\) sq ft

The floor area is \(15 \times 12 = 180\) sq ft.

G4-C07-T03-Q010 About 1 min

Mia's bedroom window is a rectangle. The length is \(4\) feet and the width is \(3\) feet. What is the area of the window?

  1. A \(7\) sq ft
  2. B \(12\) sq ft
  3. C \(14\) sq ft
  4. D \(21\) sq ft
Check answer and explanation

Answer B: \(12\) sq ft

Window area \(= 4 \times 3 = 12\) sq ft.

G4-C07-T03-Q011 About 1 min

A swimming pool cover is rectangular and measures \(20\) meters long and \(8\) meters wide. How much space does the cover take up?

  1. A \(28\) sq m
  2. B \(56\) sq m
  3. C \(160\) sq m
  4. D \(180\) sq m
Check answer and explanation

Answer C: \(160\) sq m

Space covered \(= 20 \times 8 = 160\) sq m.

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