Mapping your Way - 2 Class 5 Worksheet Maths Chapter 8

Q1: Find the Perimeter of the Following Figures.

(i)
Ans: The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you must add the lengths of all the four sides.
Perimeter of square = 4 × a (a = length of side)
Now, perimeter of given figure:
5cm + 5 cm + 6cm + 9cm + 7 cm
= 32 cm
Therefore, the perimeter of the figure is

(ii)
Ans: The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you must add the lengths of all the four sides.
Perimeter of rectangle = 2 (l + w) (l= length, w = width)
Length =22 km and Width =10 km
Now, perimeter of given figure:
= 2(22 km + 10 km)
= 2(32km)
= 64 km
Therefore, the perimeter of the figure is

(iii)
Ans: The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you must add the lengths of all the four sides.
Perimeter of square = side + side + side + side
Now, perimeter of given figure:
= 18 cm + 18 cm + 18 cm + 18 cm
= 72 cm
Therefore, the perimeter of the figure is 72 cm

(iv)
Ans: The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you must add the lengths of all the four sides.
Perimeter of square = 4 x a (a = length of side)
Now, perimeter of given figure:
= 10m + 14m + 10m +5m + 5m + 5m + 9m
= 58 m
Therefore, the perimeter of the figure is 58 m.

Q2: Find the Area of the Given Figure.

(i)
Ans: Area is the size of a surface.
In given figure, the shape put on a grid and then count the number of squares.
Number of squares = 21
When each square is 1 meter on a side, then the area:
= 21 x 1 cm
= 21cm²

(ii)
Ans: Area is the size of a surface. A rectangle is a four-sided flat shape where every angle is a right angle.
Opposite sides are parallel and of equal length.
Area of rectangle =  a x b
Given figure, a rectangle is 18 km wide and 9 km high.
∴ Area = a x b
∴ Area = 18 km x 9 km
= 162 km²

(iii)
Ans: Area is the size of a surface.
A square is a flat shape with 4 equal sides and every angle is a right angle.
The area is the side length squared:
∴ Area = length h² = length x length
Here, given figure length = 20 cm
∴ Area = 20²cm
= 400cm²

(iv)
Ans: Area is the size of a surface.
A square is a flat shape with 4 equal sides and every angle is a right angle.
Length of square = 5 cm
∴ Area of square = a²
= 5cm x 5 cm
= 25 cm²
A rectangle is a four-sided flat shape where every angle is a right angle. Opposite sides are parallel and of equal length.
Width = 14 cm and Height = 5 cm
∴ Area of rectangle = w x h
= 14 cm x 5 cm
= 70 cm²
Now, Total area is:
= 25 cm² + 70 cm²
= 95 cm²
Therefore, the area of the figure is 95 cm².

Q3: Answer the Following Questions.

(i) Heenal has a square plot of land of perimeter 340 m. What is the length of its side?
Ans: A square plot of land perimeter = 340m
Now, perimeter of square = 4 × length of side
∴ 340 = 4 × length of side
340 / 4 = length of side
∴ Length of side = 85m

(ii) (a) What is the length of the wire that Sambhu needs to buy for it to run along the edges of a wall of length 5 m width 4.5 m?
Ans: The edges of a wall of length = 5m
Width = 4.5m
Now, length of the wire = 2(l + w)
= 2 (5 + 4.5)m
= 2(9.5)m
= 19m
Hence, Sambhu needs to buy 19 m wire.
(b) How much will the wire cost him in total if each meter of the wire cost ₹ . 4?
Ans: If each meter of the wire cost = ₹.4
Now, cost of 19 m:
1m = ₹.4
19m = ?
= 19 x 4
= ₹.76
Therefore, total cost of 19 m wire is ₹ . 76.

Q4: Find out from the given map.

(i) Which of these are nearest to River Yamuna?
Ans: The nearest buildings to the River Yamuna are Moti Masjid and Diwan-i-Khas. These buildings are located on the eastern side of the Red Fort, close to the river.

(i) Which is in between the two buildings Hammam and Rang Mahal?
Ans: The building in between Hammam and Rang Mahal is the Aram Gah. It is situated between these two structures.

(i) Which building do you pass while going from Rang Mahal to the Hammam?
Ans: While going from Rang Mahal to the Hammam, you pass by the Aram Gah. The Aram Gah is located directly in the path between these two buildings.

(i) Which building on this map is farthest from Meena Bazar?
Ans: The building farthest from Meena Bazar is the Moti Masjid. It is located on the northeastern side of the Red Fort, whereas Meena Bazar is closer to the southwestern gate, Lahori Gate.

Q5: Questions & Answers.

(i) What is the opposite direction of NORTH?
Ans: The opposite direction of NORTH is SOUTH.

(ii) What is the opposite direction of EAST?
Ans: The opposite direction of EAST is WEST.

(iii) What is the opposite direction of SOUTH?
Ans: The opposite direction of SOUTH is NORTH.

(iv) Northern state is ____________
Ans: The northern state could vary based on the country in question. For India, a northern state is Jammu and Kashmir.

(v) Eastern state is _____________
Ans: The eastern state could vary based on the country in question. For India, an eastern state is West Bengal.

(vi) Southern state is ____________
Ans: The southern state could vary based on the country in question. For India, a southern state is Tamil Nadu.

(vii) Distance between two states is 36 cm in the map. If 1 cm = 10 km in the map, what will be the actual distance between two states?
Ans: Calculation:
Actual Distance=Map Distance×Scale
Actual Distance=36 cm×10 km/cm=360 km
The actual distance between the two states is 360 km.

(viii) Distance between two states is 24 cm in the map. If 1 cm = 20 km in the map, what will be the actual distance between two states?
Ans: Calculation:
Actual Distance=Map Distance×Scale
Actual Distance=24 cm×20 km/cm=480 km
The actual distance between the two states is 480 km.

(ix) Distance between two states is 48 cm in the map. If 1 cm = 30 km in the map, what will be the actual distance between two states?
Ans: Actual Distance=Map Distance×Scale
Actual Distance=48 cm×30 km/cm=1440 km
The actual distance between the two states is 1440 km.