Word Problems: Area & Perimeter | Mathematics for Class 5 PDF Download

Q1: Perimeter of a square is 48 cm. Find the length of its side?
Ans: Perimeter = 48 cm

Sol: Length of a side = perimeter/4 
= 48/4 
=12cm

Q2: Find the area of a rectangle whose length is 12 cm and breadth is 10 cm.
Ans: 120 sq cm

Sol:  Given L=12 cm, b= 10 cm
Area = L x b = 12 x 10 
= 120 sq cm

Q3: A rectangular field is 24 m long and 20 m wide. Find the cost of fencing the field at the rate of 25 rupees per metre.
Ans: 2200 rupees

Sol:  Given L= 24 m, B= 20 m
Perimeter = 2 x (L + B) = 2 x (24 + 20) 
= 2 x 44 = 88 m
Cost of fencing = 88 x 25 = 2200 rupees.

Q4: A thin wire 40 cm long is formed into a rectangle. If the width of this rectangle is 8 cm, what is its length?
Ans: 12 cm

Sol: Perimeter =2 x (l + b) = 40 cm and b = 8 cm
l + b = 20
l + 8 = 20
l = 20 – 8 = 12cm

Q5: Find the side of the square whose perimeter is 20m?
Ans: 5 m

Sol: Length of the side of a square = perimeter / 4 
= 20/4 = 5 m

Q6: The length of a rectangular garden is 20 m and breadth is 13 m. How much barbed wire will be needed to fence the garden?
Ans: 66m

Sol: Given l = 20 m, b = 13 m
Perimeter = 2 x (l + b) 
= 2 x (20 + 13) 
= 2 x 33 = 66 m

Q7: A square garden has a perimeter 40m. What is its area?
Ans: 100 sq m

Sol: Given perimeter = 40 m
Length of a side = perimeter/ 4 = 40 / 4 = 10 m
Area = side x side = 10 x 10 = 100 sq m

Q8: The fencing of a square garden is 32 m in length. How long is one side of the garden?
Ans:  8 m

Sol:  Given perimeter = 32 m
Length of one side = 32/ 4 = 8m

Q9: Find the perimeter of a triangle with sides measuring 10 cm, 14 cm and 15 cm?
Ans: 39 cm

Sol: Perimeter = 10 + 14 + 15 = 39 cm

Q10: The area of a rectangular garden 50 m long is 300 sq m. Find the width of the garden?
Ans: 6 m

Sol: Given l = 50 m
Area = 300 sq m
Width = Area/ length = 300/ 50 = 6 m