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Published on: 07/09/2019
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1.
Find the cost of fencing a rectangular park of length 175 m and breadth 125 m at the rate of Rs.12 per metre.
2.
Find the cost of fencing a square park of side 250 m at the rate of Rs.20 per metre
3.
What is the length of the wooden strip required to frame a photograph of length and breadth 32 cm and 21 cm, respectively?
4.
Find the perimeter of the following figures.
Perimeter = AB+ BC +CD + DE + EF + FG +GH +HI + IJ + JK + KL + LA
=__+__+__+__+__+__+__+__+__+__+__+__=__
5.
An athlete takes 10 rounds of a rectangular field. which is 30 m long and 20 m wide. Find the total distance covered by him.

6.
Find the area of the following figures by counting squares.
7.
By counting squares estimate the area of the given figure
8.
Find the areas of the following figures by counting square.
9.
How many equilateral triangles of a side 2 cm long can be formed with a wooden strip of length 60 cm?
10.
If one side of an equilateral triangle is 8 cm, then find its perimeter.
11.
By splitting the following figures into rectangles, find their areas (the measures are given in centimetres).
12.
A table-top measure 2 m 25 cm by 1 m 50 cm. What is the perimeter of the table-top?
13.
Perimeter of an equilateral triangle =
2 x Length of a side
3 x Length of a side
4 x Length of a side
6 x Length of a side.
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 side of a square is 10 cm. How many times will the new perimeter become, if the side of the square is doubled?
2 times
4 times
6 times
8 times
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 perimeter of a square whose area is 64 m2 is -----
20.
The area of a rectangular park whose length is 30 m and width is 20 m, is------
21.
Area of a rectangle with length 5 cm and breadth 3 cm is------
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.
Area of a square is doubled if the side of the square is doubled
27.
If length of a rectangle is halved and breadth is doubled, then the area of the rectangle obtained remains same.
1.
Given, length of rectangular park = 175 m
and breadth of rectangular park = 125 m
Then, the perimeter of rectangular park
= 2 (Length + Breadth)
=2 (175 +125) m = 2 \(\times\) 300 cm = 600 m
Cost of fencing per metre = Rs. 12
∴ Cost offencing 600 m =600 \(\times\) 12 = Rs. 7200
Hence, the cost of fencing a rectangular park is Rs. 7200.
2.
Given, side of square park = 250 m
Then, the perimeter of square park
= 4 \(\times\) Length of side of park
= 4 \(\times\)250 m = 1000 m
Cost of fencing =Rs. 20 per metre
∴Cost of fencing = 1000 \(\times\) 20 = Rs.20000
Hence, the cost of fencing a square park is Rs.20000
3.
Given, length of the wooden strip = 32 cm
and breadth of the wooden strip = 21 cm
Now, wooden strip required = Perimeter of the photograph
= 2 \(\times\) (Length + Breadth)
= 2 \(\times\) (32 cm + 21 cm)
=2\(\times\)53cm =106 cm
Hence, the required length of wooden strip is 106 cm.
4.
The perimeter of the given figure is 28 cm
5.
Given, length of rectangular field (I) = 30 m
and breadth of rectangular field (b) = 20 m
Total distance covered by the athlete in one round = Perimeter of field (rectangle)
= 2 (I + b) = 2 (30 + 20) = 100 m
Since, the distance covered in one round = 100 m
So, the distance covered in 10 rounds = 10 \(\times\) 100 = 1000 m.
6.
24 cm2 (approx.)
7.
39 cm2 (approx.)
8.
Given, figure is covered by 9 full squares.
∴ Area = (9 \(\times\) 1)sq units = 9 sq units
9.
10
10.
Perimeter of an equilateral triangle = 3 X Length of side
[∵ in equilateral triangle, all sides are equal, so length of each side will be 8 cm]
=3 \(\times\) 8 = 24 cm
Hence, the perimeter of rectangle is 24 cm.
11.
Let the given figure is divided into rectangles A, Band C and their length and breadth are written on the figure.
For rectangle A,
Length = 2 cm and breadth = 1 cm
∴ Area of the rectangle A = Length \(\times\) Breadth
=2 \(\times\) 1=2 sq cm
For rectangle B,
Length = 5 ern and breadth = 1 cm
∴ Area of the rectangle B
= Length \(\times\) Breadth = 5 \(\times\)1 = 5 sq cm
For rectangle C,
Length = 2 cm and breadth = 1cm
∴ Area of the rectangle C = Length \(\times\) Breadth
=2 \(\times\) 1=2 sqcm
Now, total area of the given figure = Area of rectangle A + Area of rectangle B + Area of rectangle C
= (2 + 5 + 2) sq cm = 9 sq cm
Hence, the area of the given figure is 9 sq cm
12.
Given, length of table-top = 2 m 25 cm
\(=2m+25\times \frac { 1 }{ 100 } m\quad \left[ \because \quad 1cm=\frac { 1 }{ 100 } m \right] \)
\(=2m+\frac { 25 }{ 100 } m =2m+0.25m\)
= (2 + 0.25) m = 2.25 m
Breadth of table-top = 1m 50 cm = 1 m + 50 cm
\(=1m+50\times \frac { 1 }{ 100 } m\quad \left[ \because 1cm=\frac { 1 }{ 100 } m \right] \)
\(=1m+\frac { 50 }{ 100 } m\quad =1m+0.50m\)
= (1+ 050) m = 1.50 m
∴ Perimeter of table top = 2\(\times\)(Length + Breadth)
= 2\(\times\) (2.25 m + 1.50 rn)
= 2 \(\times\) 3.75 m = 7.50 m
Hence, the perimeter of the table top is 7.50 m.
13.
(b)
3 x Length of a side
14.
(a)
Rs.17500
15.
(c)
5.24 m
16.
(a)
2 times
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 a square = Side \(\times\) Side⇒64= Side \(\times\) Side
⇒8\(\times\) 8= Side\(\times\)Side ⇒ Side = 8m
Perimeter = 4\(\times\)ide= 4\(\times\)8 =32 m
20.
Area of rectangular park = I x b = 30 x 20 = 600 sq m.
21.
Area = 5 x 3 = 15 sq cm
22.
The region enclosed by a plane closed figure is called its area.
23.
(b)
24.
(a)
25.
(b)
26.
(b)
27.
(a)
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