Selected MCQ

Current Question
A rectangle has an area of 150 m² and a perimeter of 50 m. What are its dimensions?
  • A. 12 m, 10 m
  • B. 13 m, 12 m
  • C. 14 m, 11 m
  • D. 15 m, 10 m
Correct Answer: D
Explanation:
Solve simultaneous equations.
Related Question 1
The perimeter of a rectangle is 60 m. If its length is twice its breadth, its area is ____.
  • A. 160 m²
  • B. 180 m²
  • C. 200 m²
  • D. 220 m²
Correct Answer: C
Explanation:
Let breadth = x, then length = 2x; solving gives area = 200 m².
Related Question 2
The perimeter of a rectangle and a square is each 160 m. If the rectangle’s area is 100 m² less than the square's, what is the rectangle’s breadth?
  • A. 30 m
  • B. 40 m
  • C. 50 m
  • D. 60 m
Correct Answer: C
Explanation:
Solving for equal perimeters and an area difference yields breadth = 50 m.
Related Question 3
The perimeter of a square is double the perimeter of a rectangle. The area of the square ____.
  • A. 200 sq cm
  • B. 72 sq cm
  • C. 162 sq cm
  • D. Cannot be determined
Correct Answer: D
Explanation:
Without the dimensions of the rectangle, the square’s area cannot be uniquely determined.
Related Question 4
A rectangular area is drawn to a scale of 1:500. If the drawing dimensions are given, what is the actual area?
  • A. 1200 m²
  • B. 1500 m²
  • C. 12000 m²
  • D. 15000 m²
Correct Answer: D
Explanation:
Area scales as the square of the scale factor → actual area = 15000 m².
Related Question 5
The perimeters of a circular field and a square field are equal. If the area of the square is given, what is the area of the circle?
  • A. 15500 sq m
  • B. 15400 sq m
  • C. 15200 sq m
  • D. 15300 sq m
Correct Answer: B
Explanation:
Equating the perimeters and solving for the area yields an area ≈ of 15400 m².