Rectangle
A rectangle is a quadrilateral with four right angles. This means that opposite sides of a rectangle are equal in length and parallel to each other. It is a special case of a parallelogram where all angles are right angles.
Properties of a Rectangle
- Four Right Angles: All angles in a rectangle are right angles, meaning they measure 90 degrees.
- Opposite Sides are Equal: The opposite sides of a rectangle are equal in length.
- Diagonals are Equal: The diagonals of a rectangle are equal in length and bisect each other.
- Area and Perimeter: The area of a rectangle is given by the formula: A = length x width, and the perimeter is given by: P = 2(length + width).
Formulas
Area of a Rectangle: A = length x width
Perimeter of a Rectangle: P = 2(length + width)
Example Problems
1. Find the area and perimeter of a rectangle with length = 5 cm and width = 8 cm.
Area: A = 5 cm x 8 cm = 40 square cm
Perimeter: P = 2(5 cm + 8 cm) = 26 cm
2. If the perimeter of a rectangle is 30 meters and its length is 10 meters, find the width of the rectangle.
Let the width be represented by 'w'.
30 = 2(10 + w)
30 = 20 + 2w
2w = 30 - 20
2w = 10
w = 5 meters
Practice Questions
- Find the area of a rectangle with length = 12 cm and width = 6 cm.
- If the area of a rectangle is 56 square units and its length is 8 units, find the width of the rectangle.
- A rectangle has a perimeter of 24 meters and its width is 5 meters. Find the length of the rectangle.
Conclusion
Rectangles are important geometric shapes with various properties and formulas for area and perimeter. Understanding these concepts is crucial for solving problems related to rectangles.
[Rectangle] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Seventh Grade. Plane Figures: Closed Figure Relationships
Worksheet/Answer key
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Worksheet/Answer key