Everyday Mathematics: Perimeter of Various Shapes | Mathematics Olympiad Class 4 PDF Download

Q1. Aditya wants to put a fence around a rectangular garden that is 12 m long and 8 m wide. How much fencing does he need?
(a) 32 m
(b) 40 m
(c) 48 m
(d) 20 mAns: (b) 40 m

Perimeter of a rectangle = 2 × (length + breadth) 
= 2 × (12 m + 8 m) = 2 × 20 m = 40 m. 
Aditya needs 40 meters of fencing to go around the garden.

Q2. A hexagonal table has a perimeter of 72 cm, and all its sides are equal. What is the length of one side?
(a) 10 cm
(b) 12 cm
(c) 14 cm
(d) 16 cm
Ans: (b) 12 cm

Perimeter of a regular hexagon = 6 × side.

So, side = Perimeter ÷ 6 = 72 ÷ 6 = 12 cm. 

Each side of the table is 12 cm.

Q3. A square photo frame has a side of 15 cm. What is the total length of the frame’s border?
(a) 45 cm
(b) 60 cm
(c) 30 cm
(d) 75 cmAns: (b) 60 cm

Perimeter of a square = 4 × side = 4 × 15 cm = 60 cm. 
The border of the photo frame is 60 cm long.

Q4. A kite has 4 sides with lengths 6 cm, 6 cm, 9 cm, and 9 cm. How much string is needed to outline it?
(a) 20 cm
(b) 24 cm
(c) 30 cm
(d) 36 cm
Ans: (c) 30 cm

Perimeter = sum of all sides = 6 + 6 + 9 + 9 = 30 cm. The string outlines the kite, so 30 cm is needed.

Q5. Mrs. Sharma stitches a lace around a square tablecloth with each side measuring 50 cm. If the lace costs Rs. 2 per cm, how much will she spend?
(a) Rs. 200
(b) Rs. 100
(c) Rs. 400
(d) Rs. 150
Ans: (a) Rs. 200

Perimeter of the square table cloth = 4 × side = 4 × 50 cm = 200 cm.
 Cost = 200 cm × Rs. 2/cm = Rs. 200. 
Mrs. Sharma will spend Rs. 200.

Q6. A rectangular playground has a perimeter of 70 m. If its length is 20 m, what is its breadth?
(a) 15 m
(b) 25 m
(c) 10 m
(d) 35 m
Ans: (a) 15 m

Perimeter of a rectangle = 2 × (length + breadth). 
So, 70 m = 2 × (20 m + breadth). 
Solving: 70 ÷ 2 = 20 + breadth
⇒ 35 = 20 + breadth
⇒ breadth = 35 - 20 = 15 m. 
The breadth is 15 m.

Q7. A pentagon-shaped garden has 5 equal sides, each 8 meters long. What is the total length of the boundary?
(a) 32 meters
(b) 40 meters
(c) 48 meters
(d) 56 meters
Ans: (b) 40 meters

Perimeter of a regular pentagon = 5 × side 
= 5 × 8 = 40 meters. 
The boundary is the total length around the garden, which is 40 meters.

Q8. A square park has a perimeter of 36 m. What is the length of one side of the park?
(a) 12 m
(b) 10 m
(c) 9 m
(d) 6 m
Ans: (c) 9 m

Perimeter of a square = 4 × side.
 So, 36 m = 4 × side
side = 36 ÷ 4 = 9 m. 

Q9. Ravi jogs around an equilateral triangle-shaped park with each side measuring 25 m. How far does he jog in one round?
(a) 50 m
(b) 75 m
(c) 100 m
(d) 60 m
Ans: (b) 75 m

Perimeter of an equilateral triangle = 3 × side 
= 3 × 25 m 
= 75 m. 
Ravi jogs 75 meters in one round.

Q10. An equilateral triangle has a perimeter of 45 cm. What is the length of each side?
(a) 12 cm
(b) 15 cm
(c) 18 cm
(d) 20 cm
Ans: (b) 15 cm

Perimeter of an equilateral triangle = 3 × side. 
So, side = Perimeter ÷ 3 
= 45 ÷ 3 = 15 cm. 
Each side is 15 cm.