Perimeter and Area Class 7 Worksheet 1 with Answers
1.
Fill in the blanks.
a.
Perimeter of a square whose area is 676 cm2 is ___________.
b. The area of a square is same as the
area of a rectangle whose length is 18 cm and breadth is 8 cm. The perimeter of
the square is ___________.
c. If four squares of side 3 cm are
cut from the corners of a square cardboard of side 12 cm, then the area and
perimeter of the remaining part are ___________ and ___________ respectively.
d.
The perimeter of a square is 80 cm, then the area of the square is ___________.
e.
The area of a triangle with base 24 cm and height 15 cm is ___________.
2.
Match each of the following to the correct
answer:
a.
The area of a square field is 1600 hectares,
its
area in m2 is i.
1000 cm
b. Area of a rectangle is 360 m2
and its length is 36 m,
then breadth in cm is ii.
16000000 m2
c.
Area of a triangle whose base is 16 cm and height 8 cm is iii. 36 cm, 24 cm
d. The base and height of a triangle
whose area is 432 cm2
and the ratio of the base and height
is 3 : 2 is iv. 52 seconds
e. Area of a square field is 676
m2. If a man runs around it
at 7.2 km/h, the time taken to
complete one round of it is v. 64
cm2
3. A rectangular lawn of side 30 m by 20 m has a square pool of side
6 m in the middle surrounded by a grass lawn. Find the area of the grass lawn.
4.
Find the area and perimeter of each of the
following:
a.
Rectangle with length 14 cm and breadth 9 cm
b.
Square of side 18 cm
5. A rectangular park of length 50 m and breadth 30 m has two
crossroads perpendicular to one another. The width of the paths is 3 m, find
the area of the crossroads.
6. The floor of a room is 8 m by 4 m. If square tiles of side 20 cm
are to be laid on the floor, how many tiles are required?
7. A rectangular garden is 180 m long and 120 m
wide, find its perimeter. If the cost of ploughing it is ₹ 2.50 per square
metre, find the area of the field and the cost of ploughing it.
8.
Choose the correct option.
a.
Area of a square field is 1764 sq. cm, then its perimeter is equal to
i. 168 cm
ii. 84 cm
iii. 42 cm
iv. 441 cm
b. If area of a rectangle whose length
is 64 m is 3648 m2, then the perimeter of the field is
i. 121 m
ii. 242 m
iii. 57 m
iv. 128 m
c. If the cost of fencing a plot of
land is ₹ 4.50 per metre and the dimensions of the plot being 252 m by 98 m,
then total cost is
i. ₹ 1000
ii ₹ 1575
iii. ₹ 3150
iv. ₹ 700
d. The length and breadth of the floor
of rectangular hall is in the ratio 4 : 3. If the perimeter of the floor is 56
m, then its dimensions are
i. 16 m, 12 m
ii. 32 m, 24 m
iii. 7 m, 8 m
iv. 14 m, 4 m
9.
State whether the following statements are
true or false.
a. The perimeter of an isosceles
triangle with equal sides 10 cm and base 12 cm is equal to 30 cm.
b. Length of a rectangle is 3 times
its breadth. If its area is 1323 cm2, then its dimensions are 21 cm
× 7 cm.
c. 15 m2
is equal to 15000 cm2.
Perimeter and Area Class 7 Worksheet 2 with Answers
1.
Fill in the blanks.
a.
1600000 mm2 is equal to ___________ m2.
b.
18 dm is equal to ___________ m.
c. If length =
7.6 cm, breadth = 2.5 cm, then perimeter = __________ and area = __________.
d. If area of a square is 11025 sq.
cm, then its length is equal to ___________ and the perimeter is equal to
___________.
e. Area of a garden including a path
running around it is 9750 m2. If the garden is 120 m by 65 m, then
the area of the path is ___________.
2.
A rectangular garden is 115 m by 50 m. Find
its perimeter and area.
3. Find the area of the shaded region in each of
the following figures.
4. Find the area and perimeter of the following:
a. A triangle with sides 6 cm, 4 cm, 5
cm and height corresponding to base 5 cm is 2.8 cm.
b.
Rectangle with sides 12.5 cm and 10 cm.
5. A 5 m wide path runs outside and around a rectangular plot of land
of dimension 150 m by 75 m. Find the area of the path and the perimeter of the
plot excluding the path.
6. A path 2.5 m wide runs along inside a square field of side 80 m.
Find the area of the path. Also, find the cost of levelling the path at ₹ 25
per m2.
7.
Choose the correct option.
a.
Perimeter of a rectangle is
i. 2 (length + breadth)
ii.
4 × length of each side
iii. length × breadth
iv. length ÷breadth
b.
Area of a square of side a is equal to
i. 4a
ii. a2
iii. a3
iv. 2a
c.
If the perimeter of a rectangle is 30 cm and length is 8 cm, then breadth is
i. 15 m
ii. 12 cm
iii. 8 cm
iv. 7 cm
d.
16 m2 in cm2 is
i. 160000 cm2
ii. 1600 cm2
iii. 160 cm2
iv. 16000
cm2
e.
65000 m2 in hectares is
i. 65 hectares
ii. 650 hectares
iii. 6.5 hectares
iv. 6500 hectares
8.
State whether the following statements are
true or false.
a. Area of a rectangle remains the
same, if length is doubled and breadth is halved.
b. If the perimeter of a square is 140
cm, then area of the square is 1225 cm2.
ANSWERS
Worksheet
1
1. a. 104 cm b. 48 cm
c. 108 cm2; 48 cm
d. 400 cm2 e. 180
cm2
2. a. ii b. i
c. v d. iii
e. iv
3. 564 m2
4. a. 126 cm2;
46 cm
b. 324 cm2; 72 cm
5. 231 m2
6. 800 tiles
7. 600 m; 21600
m2; ₹ 54,000
8. a. i b. ii
c. iii d. i
9. a.
False b. False
c. False
Worksheet
2
1. a. 1.6 b. 1.8
c. 20.2 cm; 19 cm2
d. 105 cm; 420 cm
e. 1950 m2
2. 330 m; 5750
m2
3. a. 64 m2 b. 234 m2
c. 99 m2 d. 300 m2
e. 26 m2
4. a. 7 cm2;
15 cm
b. 125 cm2; 45 cm
5. 2350 m2;
450 m
6. 775 m2;
₹ 19,375
7. a. i b. ii
c. iv d. i
e. iii
8. a.
True b. True
MCQs Questions for Class 7 Maths
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14. Triangle and its properties class 7 worksheets
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