Learn on PengienVision, Mathematics, Grade 4Chapter 13: Measurement: Find Equivalence in Units of Measure

Lesson 6: Solve Perimeter and Area Problems

Property.

Section 1

Calculate Perimeter and Find an Unknown Side Length

Property

The perimeter of a rectangle is calculated using the formula P=2×(l+w)P = 2 \times (l + w), where ll is the length and ww is the width.
To find an unknown side length (e.g., width ww) when the perimeter PP and length ll are known, you can use the formula:

w=P2lw = \frac{P}{2} - l

Examples

Section 2

Calculate the Area of a Rectangle and Find a Missing Side

Property

The area (AA) of a rectangle is the product of its length (ll) and width (ww), calculated with the formula A=l×wA = l \times w. To find a missing side length when the area is known, you can rearrange this formula using division: l=Awl = \frac{A}{w} or w=Alw = \frac{A}{l}.

Examples

Book overview

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Chapter 13: Measurement: Find Equivalence in Units of Measure

  1. Lesson 1

    Lesson 1: Equivalence with Customary Units of Length

  2. Lesson 2

    Lesson 2: Equivalence with Customary Units of Capacity

  3. Lesson 3

    Lesson 3: Equivalence with Customary Units of Weight

  4. Lesson 4

    Lesson 4: Equivalence with Metric Units of Length

  5. Lesson 5

    Lesson 5: Equivalence with Metric Units of Capacity and Mass

  6. Lesson 6Current

    Lesson 6: Solve Perimeter and Area Problems

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Calculate Perimeter and Find an Unknown Side Length

Property

The perimeter of a rectangle is calculated using the formula P=2×(l+w)P = 2 \times (l + w), where ll is the length and ww is the width.
To find an unknown side length (e.g., width ww) when the perimeter PP and length ll are known, you can use the formula:

w=P2lw = \frac{P}{2} - l

Examples

Section 2

Calculate the Area of a Rectangle and Find a Missing Side

Property

The area (AA) of a rectangle is the product of its length (ll) and width (ww), calculated with the formula A=l×wA = l \times w. To find a missing side length when the area is known, you can rearrange this formula using division: l=Awl = \frac{A}{w} or w=Alw = \frac{A}{l}.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 13: Measurement: Find Equivalence in Units of Measure

  1. Lesson 1

    Lesson 1: Equivalence with Customary Units of Length

  2. Lesson 2

    Lesson 2: Equivalence with Customary Units of Capacity

  3. Lesson 3

    Lesson 3: Equivalence with Customary Units of Weight

  4. Lesson 4

    Lesson 4: Equivalence with Metric Units of Length

  5. Lesson 5

    Lesson 5: Equivalence with Metric Units of Capacity and Mass

  6. Lesson 6Current

    Lesson 6: Solve Perimeter and Area Problems