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Published on: 24/10/2025
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1.
Tahir measured the distance around a squared field as 200 rods (Iathi). Later he found that the length of this rod was 140 cm. Find the side of this field in metres.
2.
A rectangular park of length 300 m and breadth 150 m is to be fenced with two rows of wires. What is the length of the wire needed?
3.
A piece of string is 30 cm long. What will be the length of each side, if the string is used to form a regular hexagon?
4.
Meera went to a park 150 m long and 80 m wide. She took one complete round on its boundary. What is the distance covered by her?
5.
The perimeter of a regular hexagon is 30 cm. How long is its one side?
6.
Find the area of the given figure
7.
Find the perimeter of a rectangle, whose length is 40 cm and width is 30 cm.
8.
Find the perimeter of the following figures
9.
Find the perimeter of the following figures
10.
Find the distance travelled by Soniya, if she takes three rounds of a squared park of side 60 m.
11.
Four regular hexagons are drawn, so as to form the design as shown in figure. If the perimeter of the design is 28 cm. Then, find the length of each side of the hexagon.
12.
Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?
13.
The top of a table is 1 m 20 cm wide and 1 m 50 cm long. The perimeter of this top is
5.30 m
5.40 m
5.50 m
5.60 m
14.
Cost of fencing a rectangular park of length 200 m and width 150 m at the rate of Rs.25 per metre is
Rs.17500
Rs.1750
Rs.1705
Rs.10750
15.
The perimeter of a square, whose each side is 1m 30cm 10 mm, is
5.4 m
5.14 m
5.24 m
5.04 m
16.
The perimeter of a rectangle, whose sides are 1m 30 cm and 70 cm, is
20 m
4 m
0.2 m
2 m 30 cm
17.
A square shaped park ABCD of side 100 m has two equal rectangular flower beds each of size 10m \(\times\) 5 m (see the figure). Length of the boundary of the remaining park is
360m
400 m
340 m
460 m
18.
The number of square tiles, which can be fitted on a floor of dimension 40 m by 30 m and size of tile is 2 m \(\times\) 2 m is -------
19.
The area of a rectangular park whose length is 30 m and width is 20 m, is------
20.
Standard unit of area is ------
21.
Diagonal of a square is ------ side
22.
The amount of region enclosed by a plane closed figure is called its --------
23.
1 sq m = 100 cm.
24.
A farmer who wants to fence his field, must find the perimeter of the field.
25.
Perimeter of a regular octagon of side 6 cm is 36 cm.
26.
If length of a rectangle is halved and breadth is doubled, then the area of the rectangle obtained remains same.
27.
1 hectare = 100 \(\times\) 100 m2.
1.
Distance around a square field = 200 rods
Length of this rod = 140 cm
Total distance around a squared field
= 200 \(\times\) 140= 28000 cm
So, perimeter of this squared field
= 28000 cm= 280 m
Sides of this field = \(\frac{280}{4}\) = 70 m
2.
1800 m
3.
Here, length of string will be the perimeter of regular hexagon.
∴ Perimeter of regular hexagon = 30
We know that, a regular hexagon has 6 equal sides
Perimeter of a regular hexagon = 6 \(\times\) Length of a side
\(\therefore \quad Length\quad of\quad a\quad side=\frac { Perimeter\quad of\quad a\quad regular\quad hexagon }{ 6 } \)
\(=\frac { 30 }{ 6 } cm=5cm\)
Hence, the length of each side of a regular hexagon is 5cm.
4.
Let ABCD be a park whose lengths are BC, AD and widths are AB, CD respectively.
Here, AB = CD = 80 m and BC = DA = 150 m
Now, sum of the lengths of four sides
=AB+ BC + CD +DA
= 80 m + 150 m + 80 m + 150 m
= (80 + 150 + 80 + 150) m = 460 m
∴ Perimeter of the park = Sum of the lengths of four sides of the park =460m
Hence, the distanee eovered by Meera is 460 m.
5.
Given, perimeter of a regular hexagon =30 cm
A regular hexagon has 6 sides.
∴ The perimeter of regular hexagon = 6 \(\times\) Length of a side
⇒30 = 6 \(\times\) Length of a side
∴ The length of a side=\(\frac{30}{6}\)=5cm
Hence, length of each side of a regular hexagon is 5 cm.
6.
75 cm2 (approx)
7.
140 cm
8.
The perimeter of the given figure is 20 cm.
9.
The perimeter of the given figure is 133 cm.
10.
Perimeter of a squared park = 4 \(\times\) Length of a side = 4 \(\times\) 60 = 240 m
Distance covered in one round = 240 m
Distance covered in three rounds = 3 \(\times\) 240 m = 720 m
11.
Given, four regular hexagons, as shown in the figure:
Perimeter of the design = 28 cm
∴ Perimeter of the given design = Sum of all outer sides of the four hexagons.
Here, this figure has 14 outer equal sides.
∴Perimeter of the design = 14 \(\times\) Length of one side of hexagon
⇒ 28 = 14\(\times\) Length of one side of hexagon
Length of one side of hexagon=\(\frac{28}{14}=2cm\)
12.
Given, length of the piece of land = 5 m
and breadth of the piece of land = 4 m
Area of the piece of land = Length \(\times\) Breadth
= 5 m \(\times\) 4 m= 20 sq m
Given, side of one square flower bed = 1m
∴ Area of one square flower bed = Side \(\times\) Side
= (1m \(\times\) 1rn) = 1sq m
Then, area of 5 such flower beds = 5 \(\times\) Area of one square flower bed
= 5 \(\times\) 1sq m = 5 sq m
Now, area of the remaining part of land
= Area of the piece of land - Area of 5 square flower beds
= (20 - 5)sq m =15 sq m
Hence, the area of the remaining part of the land is 15 sq m.
13.
(b)
5.40 m
14.
(a)
Rs.17500
15.
(c)
5.24 m
16.
(b)
4 m
17.
(b)
400 m
18.
Number of tiles =\(\frac { Area\quad of\quad the\quad floor }{ Area\quad of\quad one\quad tile } =\frac { 40\times 30 }{ 2\times 2 } =\frac { 1200 }{ 4 } \)
=300
19.
Area of rectangular park = I x b = 30 x 20 = 600 sq m.
20.
We know that, standard unit of area is cm2 or m2.
21.
Diagonal of a square = \(\sqrt2\) x Side
22.
The region enclosed by a plane closed figure is called its area.
23.
(b)
24.
(a)
25.
(b)
26.
(a)
27.
(a)
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