A rectangle is a two-dimensional quadrilateral shape with four sides, where all interior angles measure 90 degrees. Opposite sides are equal in length and parallel, making it a type of parallelogram. The diagonals of a rectangle are equal in length and bisect each other, intersecting at their midpoints.
Key properties include:
– Area calculation: Length × Width
– Perimeter calculation: 2 × (Length + Width)
– It has rotational symmetry of order 2 and line symmetry along its diagonals and midlines.
Rectangles are fundamental in geometry, architecture, design, and everyday objects like doors, screens, and picture frames. They provide stability and efficiency in structures due to their right angles and balanced proportions.
Table of contents
- Part 1: OnlineExamMaker AI quiz generator – The easiest way to make quizzes online
- Part 2: 20 rectangle quiz questions & answers
- Part 3: AI Question Generator – Automatically create questions for your next assessment
Part 1: OnlineExamMaker AI quiz generator – The easiest way to make quizzes online
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Part 2: 20 rectangle quiz questions & answers
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1. What is the defining property of a rectangle regarding its angles?
A. All angles are acute.
B. All angles are right angles.
C. All angles are obtuse.
D. Angles vary in measure.
Answer: B
Explanation: A rectangle is a quadrilateral with four right angles, each measuring 90 degrees.
2. If a rectangle has a length of 10 cm and a width of 5 cm, what is its area?
A. 15 cm²
B. 50 cm²
C. 30 cm²
D. 20 cm²
Answer: B
Explanation: The area of a rectangle is calculated by multiplying length by width: 10 cm × 5 cm = 50 cm².
3. Which of the following statements about the diagonals of a rectangle is true?
A. They are perpendicular.
B. They are unequal in length.
C. They bisect each other.
D. They are never equal.
Answer: C
Explanation: In a rectangle, the diagonals bisect each other, meaning they cross at their midpoints.
4. A rectangle has sides of 8 m and 6 m. What is its perimeter?
A. 14 m
B. 28 m
C. 48 m
D. 24 m
Answer: B
Explanation: The perimeter is calculated by adding all sides: 2 × (length + width) = 2 × (8 m + 6 m) = 28 m.
5. In a rectangle, how do the opposite sides compare?
A. They are perpendicular.
B. They are equal in length.
C. They are always curved.
D. They form acute angles.
Answer: B
Explanation: Opposite sides of a rectangle are equal in length and parallel.
6. What is the length of the diagonal in a rectangle with sides 12 cm and 5 cm?
A. 13 cm
B. 17 cm
C. 10 cm
D. 15 cm
Answer: A
Explanation: Use the Pythagorean theorem: Diagonal = √(12² + 5²) = √(144 + 25) = √169 = 13 cm.
7. Which shape is not a rectangle?
A. A square
B. A rhombus that is not a square
C. A parallelogram with right angles
D. A quadrilateral with four equal sides and right angles
Answer: B
Explanation: A rhombus that is not a square does not have right angles, so it is not a rectangle.
8. If the area of a rectangle is 36 square units and its width is 6 units, what is its length?
A. 6 units
B. 12 units
C. 18 units
D. 30 units
Answer: A
Explanation: Length = Area ÷ Width = 36 square units ÷ 6 units = 6 units.
9. How many lines of symmetry does a rectangle have?
A. 0
B. 1
C. 2
D. 4
Answer: C
Explanation: A rectangle has two lines of symmetry: one along the length and one along the width.
10. A rectangle’s length is twice its width. If the width is 4 cm, what is the perimeter?
A. 12 cm
B. 24 cm
C. 16 cm
D. 32 cm
Answer: B
Explanation: Length = 2 × 4 cm = 8 cm; Perimeter = 2 × (8 cm + 4 cm) = 2 × 12 cm = 24 cm.
11. What is true about the angles in a rectangle?
A. They are all equal.
B. They sum to 360 degrees.
C. They are all 90 degrees.
D. Both B and C.
Answer: D
Explanation: The angles in a rectangle are all 90 degrees, and the sum of interior angles in any quadrilateral is 360 degrees.
12. If a rectangle has an area of 48 square meters and a perimeter of 28 meters, what are its dimensions?
A. 8 m by 6 m
B. 12 m by 4 m
C. 10 m by 5 m
D. 9 m by 7 m
Answer: B
Explanation: Let length = l, width = w; Perimeter: 2(l + w) = 28 → l + w = 14; Area: l × w = 48. Solving, l = 12 m, w = 2 m, but wait—actually, 12 and 4: 12 + 4 = 16 (error check: wait, correct is 12 and 4 fits 2(12+4)=32, no—recheck: for 28, it’s 8 and 6: 2(8+6)=28, area 48? 8×6=48. Answer A is correct. Wait, mistake—actually, for perimeter 28 and area 48, dimensions are 8m and 6m.
13. Which formula is used to find the area of a rectangle?
A. Length × Width
B. (Length + Width) × 2
C. √(Length² + Width²)
D. Length – Width
Answer: A
Explanation: The area is calculated as length multiplied by width.
14. In a rectangle, the diagonals are:
A. Always shorter than the sides.
B. Equal in length.
C. Perpendicular to each other.
D. Only equal in squares.
Answer: B
Explanation: The diagonals of a rectangle are always equal in length.
15. A rectangle is inscribed in a circle. What can be said about it?
A. It must be a square.
B. Its diagonals are the diameter.
C. It has no right angles.
D. It is not possible.
Answer: B
Explanation: For a rectangle to be inscribed in a circle, its diagonals must be diameters of the circle.
16. If the perimeter of a rectangle is 40 cm and the length is 12 cm, what is the width?
A. 8 cm
B. 16 cm
C. 10 cm
D. 14 cm
Answer: A
Explanation: Perimeter = 2(Length + Width) = 40 cm; So, 2(12 cm + Width) = 40 cm; 12 cm + Width = 20 cm; Width = 8 cm.
17. What type of quadrilateral has all the properties of a rectangle?
A. Rhombus
B. Square
C. Trapezoid
D. Parallelogram
Answer: B
Explanation: A square is a special type of rectangle where all sides are equal.
18. The ratio of length to width in a rectangle is 3:2. If the width is 10 cm, what is the area?
A. 60 cm²
B. 150 cm²
C. 100 cm²
D. 30 cm²
Answer: B
Explanation: Length = (3/2) × 10 cm = 15 cm; Area = 15 cm × 10 cm = 150 cm².
19. How does the area change if the length of a rectangle is doubled while the width stays the same?
A. It halves.
B. It stays the same.
C. It doubles.
D. It quadruples.
Answer: C
Explanation: Area is length × width; if length doubles, new area = (2 × original length) × width = 2 × original area.
20. Which is not a property of a rectangle?
A. Opposite sides are equal.
B. Diagonals are equal.
C. All sides are equal.
D. Angles are 90 degrees.
Answer: C
Explanation: In a rectangle, all sides are not necessarily equal; only opposite sides are equal, unless it is a square.
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