Perimeter and Area Class 6 MCQ
easyPerimeter and Area Class 6 MCQ
Perimeter and Area Class 6 MCQ
Question 1.
Jatin is finding the perimeter of a figure. Which of these could be the figure?
Answer:
Question 2.
In which of these situations will perimeter be calculated?
(a) Length of lace border needed to put around a rectangular table cover.
(b) Length of rope required to fence three sides of a rectangular backyard.
(c) Amount of water needed to fill a container.
(d) Amount of paint required to paint a wall.
Answer:
(a) Length of lace border needed to put around a rectangular table cover.
Question 3.
Aditi wants to put decorative tape around the borders of a rectangular cardboard, which is 50 cm long and 45 cm wide. Which of these expressions represents the length of tape, in cm, required to cover its borders?
(a) (50 × 45)
(b) (50 + 45)
(c) 2(50 × 45)
(d) 2(50 + 45)
Answer:
(d) 2(50 + 45)
Question 4.
A student has to form distinct rectangles by using coloured ribbon and paste it on a sheet. If she uses 20 centimetres of ribbon for each rectangle, how many distinct rectangles can she form of dimensions of positive integers?
(a) 1
(b) 5
(c) 6
(d) 10
Answer:
(b) 5
Question 5.
Arjun wants to fence his square backyard of side length 11 m using a rope. He makes 3 complete rounds using the rope to fence. What is the total length of rope used?
(a) 44 m
(b) 66 m
(c) 132 m
(d) 363 m
Answer:
(c) 132 m
Question 6.
The perimeter of a square is 2k cm. If the perimeter of the square becomes [latex]\frac {1}{2}[/latex]k cm, how will the side length of the square change?
(а) It will become 4 times
(b) It will become 8 times
(c) It will become one-fourth
(d) It will become one-eighth
Answer:
(c) It will become one-fourth
Question 7.
A wire of length 56 cm is made into the shape of a heptagon. What is the side length of the heptagon?
(a) 7 cm
(b) 8 cm
(c) 14 cm
(d) 49 cm
Answer:
(b) 8 cm
Question 8.
The perimeter of a regular hexagon is 14 cm less than the perimeter of a regular octagon. If the side length of the hexagon is (2k + 3) cm, what is the side length of the octagon?
(a) (2k + 5) cm
(b) (2k + 13) cm
(c) [latex]\frac {1}{2}[/latex](3k + 1) cm
(d) ([latex]\frac {3}{2}[/latex]k + 4) cm
Answer:
(d) ([latex]\frac {3}{2}[/latex]k + 4) cm
Question 9.
Consider the two shapes shown.
Given that the perimeter of the two shapes is equal, what is the value of x (in cm)?
(a) 5
(b) 8
(c) 10
(d) 16
Answer:
(b) 8
Question 10.
Consider a figure below.
Which of these has the same perimeter as figure A?
(a) A rectangle of length 12 cm and breadth 6 cm.
(b) An equilateral triangle of side length 24 cm.
(c) A regular pentagon of side length 9 cm.
(d) A square of side length 36 cm.
Answer:
(b) An equilateral triangle of side length 24 cm.
Question 11.
The perimeter of a rectangle is 20 cm. If the rectangle has whole-number side lengths, what is the greatest area that the rectangle can have?
(a) 24 cm2
(b) 25 cm2
(c) 70 cm2
(d) 95 cm2
Answer:
(b) 25 cm2
Question 12.
Consider the figure shown.
If the length increases by 3 cm and the breadth decreases by 1 cm, which of these statements is correct?
(a) The perimeter increases by 4 cm, and the area remains the same.
(b) The perimeter remains the same, and the area increases by 4 cm.
(c) The perimeter and the area both increase by 4 cm.
(d) The perimeter and the area remain the same.
Answer:
(a) The perimeter increases by 4 cm, and the area remains the same.
Question 13.
Observe the figure below:
What is the perimeter of the given figure?
(a) 11 units
(b) 22 units
(c) 30 units
(d) 60 units
Answer:
(b) 22 units
Case Study
Sunil has designed a garden and has put a diagonal path across his rectangular garden, as shown in the figure. This path separates the garden into two triangular gardens.
Question 1.
Area of the smaller triangular bed is
(a) 48 m2
(b) 36 m2
(c) 30 m2
(d) 25 m2
Answer:
(d) 25 m2
Question 2.
Area of the bigger triangular bed is
(a) 36 m2
(b) 48 m2
(c) 64 m2
(d) 72 m2
Answer:
(a) 36 m2
Question 3.
The perimeter of the rectangular garden is
(a) 18 m
(b) 21 m
(c) 36 m
(d) 42 m
Answer:
(c) 36 m
Question 4.
Area of the rectangle is
(a) 48 m2
(b) 64 m2
(c) 72 m2
(d) 76 m2
Answer:
(c) 72 m2
Question 5.
Area of the path is
(a) 11 m2
(b) 9 m2
(c) 7 m2
(d) 5 m2
Answer:
(a) 11 m2