Perimeter and Area Class 6 Worksheet 1
1.
Choose the correct answer for each of the following:
a. Perimeter of a
square with side 6 cm is
i. 18 cm
ii. 20 cm
iii. 24 cm
iv. 10 cm
b. Perimeter of a
rectangle with dimensions 14 cm by 10 cm is
i. 32 cm
ii. 24 cm
iii. 22 cm
iv. 48 cm
c.
Area of square with side 6.5 cm is
i. 26 cm2
ii. 13 cm2
iii. 42.25 cm2
iv. 19.5 cm2
d.
Area of rectangular field whose length is 15 m is 75 m2, hence its
breadth is
i. 24 m
ii. 5 m
iii. 36 m
iv. 18 m
e.
Perimeter of a rectangle having width 9 cm is 38 cm, then its length is
i. 10 cm
ii. 20 cm
iii. 16 cm
iv. 18 cm
2.
State true or false:
a.
A square of side 4 cm has its area and perimeter equal in magnitude.
b.
Area of a rectangle of side 45 cm by 50 cm is 190 cm2.
c.
Area of 80000 cm2 expressed in m2 is 8 m2.
d.
Area of a square field with perimeter 36 cm is 9 cm2.
e. A square field with side 50 m is to
be fenced with double wire. Length of wire required is 400 m.
3.
Fill in the blanks:
a.
Perimeter of a square of side 2 cm is ___________.
b.
Area of a rectangle of length 3 m and breadth 150 cm is ___________.
c.
Area of square field is 729 m2. Its side measures ___________.
d.
A square ground measures 6.5 m. If the side is reduced by 1 m, then area
changes by ___________.
e. The area of a rectangle is 300 m2.
If its width is 12 m, then length is equal to ___________.
4. Find the area of the shaded region in each of
the following figures:
5. Find the perimeter of each of the following figures:
6. Find the area of a path, 2 m wide constructed around a square lawn of side 50 m.
7. The area of a rectangular piece of cardboard is 45 sq. cm. and its
length is 9 cm. What is the width of the cardboard?
8. A square and rectangle have equal areas. If each side of square is
38 cm and length of rectangle is 19 cm. Find
a.
area of square
b. breadth of rectangle
c. perimeter of the rectangle
Perimeter and Area Class 6 Worksheet 2
1.
Find the cost of paving a pathway 20 m by 16 m
at ₹ 12.50 per m2.
2.
Find the area and perimeter of a rectangle
with dimensions 14.5 m by 7.8 m.
3.
Fill in each of the following blanks:
a.
Area of a rectangle is the product of its ___________ and ___________.
b.
Perimeter of a square of area 36 cm2 is equal to ___________.
c.
Area of square whose perimeter is 48 cm is ___________.
d.
Area of a rectangle whose one side is 13 cm and perimeter 42 cm is _______.
e. A floor measures 350 cm by 250 cm.
Square tiles of side 10 cm is used to cover it. The number of tiles used is
___________.
4. Find the perimeter of the following figures:
a. Length HG is i. 42 cm2
b.
Width GF is ii.
38 cm
c.
Area of rectangle EFGH iii. 6 cm
d.
Area of the unshaded region iv.
48 cm2
e.
Perimeter of the outer rectangle v. 7 cm
6. Find the area of the shaded part of each of
the following figures:
8.
Choose the correct option for each of the
following:
a.
Perimeter of a plane figure is the total length of its
i. boundary
ii. longest side
iii. shortest side
iv. half of the length of all sides
b.
Perimeter of a rectangle is
i. 2 (length + breadth)
ii. length + breadth
iii. length × breadth
iv. length ÷ breadth
c.
Area of square of side x cm is
i. 4x sq. cm
ii. 2x sq. cm
iii. x2 sq. cm
iv. x sq. cm
d.
Area of a rectangle with length 12 cm and breadth 6 cm is
i. 2 cm2
ii. 72 cm2
iii. 18 cm2
iv. 36 cm2
Perimeter and Area Class 6 Worksheet 3
1.
State true or false:
a. A piece of string is 60 cm, then
the length of each side of an equilateral triangle made out of this string is 20
cm.
b. The length of tape required to seal
a lid of a rectangular box with dimensions 40 cm by 10 cm is 150 cm.
c.
A hexagon of side 6 cm has perimeter 36 cm.
d.
8 cm2 is equal to 800 mm2.
e.
Area of a rectangle measuring 2 km by 20 m in m2 is 40000 m2.
2.
Match the following with the correct options:
a.
4 m2 is same as i. square unit
b.
Area of any figure is always ii.
40,000 cm2
c.
If each side of a square is doubled, then its area becomes iii. doubled
d. If each side
of a rectangle is doubled, then its perimeter is also iv. 4 times
3.
Find the missing data in each of the
following:
Length Breadth Perimeter Area
a.
12 cm 8 cm _____ _____
b.
_____ 4 cm 26 cm _____
c.
12 m 12 m _____ _____
d. _____ 15 m _____ 375 m2
4. Find the area and perimeter of the following
figures.
a. 16 cm to m
b. 16 m2 to cm2
c. 16 km2 to m2
d. 1600000 mm2 to m2
6. What is the cost of tiling a hall 400 m long and 250 m wide at the
rate of ₹ 12 per hundred sq. m.?
7. Ten square flower beds each of side 4 m are dug on a piece of land
20 m by 10 m. What is the area of the remaining part?
8. A photo frame is 15 cm by 15 cm. A photo is fixed in the middle of
size 13 cm by 11 cm. Find the area of the part not included within the
photograph.
9. A square lawn of side 30 m is surrounded by a 2.5 m wide path outside it. Find the area of the path.
ANSWERS
Worksheet
1
1. a. iii b. iv
c. iii d. ii
e. i
2. a. True b. False
c. True d. False
e. True
3. a. 8 cm b. 4.5 sq. m
c. 27 m d. 12 sq. m
e. 25 m
4. a. 276 sq. cm
b. 11 sq. cm
5. a. 24 cm b. 56 cm
6. 416 sq. m
7. 5 cm
8. a. 1444 sq. cm
b. 76 cm
c. 190 cm
Worksheet
2
1. ₹ 4000
2. Area = 113.1 sq. m
Perimeter = 44.6 m
3. a. length; breadth
b. 24 cm
c. 144 sq. cm
d. 104 sq. cm
e. 875
4. a. 34 cm b. 38 cm
5. a. iii b. v
c. i d. iv
e. ii
6. a. 38 sq. cm b. 144
sq. m
c. 57 sq. m d. 180 sq. cm
7. 1620 sq. cm
8. a. i b. i
c. iii d. ii
Worksheet
3
1. a. True b. False
c. True d. True
e. True
2. a. ii b. i
c. iv d. iii
3. a. 40 cm; 96 sq. cm
b. 9 cm; 36 sq. cm
c. 48 m;
144 sq. m
d. 25 m; 80 m
4. a. Area = 44 sq. cm
Perimeter = 38 cm
b. Area = 348 sq. cm
Perimeter = 112 cm
5. a. 0.16 m
b. 1,60,000
cm2
c. 1,60,00,000 m2
d. 1.6 m2
6. ₹ 12,000
7. 40 sq. m
8. 82 sq. cm
9. 325 sq. m
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