In 5th Grade Area and Perimeter Worksheet you will get different types of questions on perimeter of a triangle, perimeter of a square, perimeter of a rectangle, shapes of different kinds with the same perimeter, word problems on perimeter of a rectangle, word problems on perimeter of a square, are of plane figure, area of a square, area of a rectangle, word problems on area of a rectangle, word problems on area of a square along with the solutions.
I. Multiple Choice Questions (MCQ) on Perimeter and Area of Plane Figures:
Tick (✔) the correct option.
1. The perimeter of a rectangle of length 7 and breadth 'b' is __________.
(i) ℓ × b
(ii) a × b × c
(iii) 2(ℓ + b)
(iv) none
2. The perimeter of a triangle with sides a, b, c is __________.
(i) a + b + c
(ii) a × b × c
(iii) 2abc
(iv) none
3. If each side of a regular octagon is 'a, then its perimeter is __________.
(i) 4a
(ii) 64
(iii) 74
(iv) 8a
4. The distance travelled by Richard, if he takes three rounds of a square park of side 70 m, is __________.
(i) 280 m
(ii) 320 m
(iii) 560 m
(iv) 840 m
5. 1 square centimetre is equal to __________.
(i) 100 sq mm
(ii) 10 sq mm
(ii) 1000 sq mm
(iv) none
6. If the ratio of areas of two squares is 225 : 256, then the ratio of their perimeter is __________.
(i) 225 : 256
(ii) 256 : 225
(ii) 15 : 16
(iv) 16 : 15
7. The sides of a rectangle are in the ratio of 5 : 4. If its perimeter is 144 cm, then its length is __________.
(i) 40 cm
(ii) 20 cm
(iii) 30 cm
(iv) 60 cm
8. The cost of fencing a square park of side 250 m at the rate of $ 20 per metre is __________.
(i) $ 1000
(ii) $ 2000
(iii) $ 20,000
(iv) $ 10,000
9. The area of a rectangular garden 50 m long is 300 sq m. Its width is __________.
(i) 3 m
(ii) 6 m
(iii) 8 m
(iv) 12 m
Answer:
I. 1. (i) ℓ × b
2. (i) a + b + c
3. (iv) 8a
4. (iv) 840 m
5. (i) 100 sq mm
6. (ii) 15 : 16
7. (i) 40 cm
8. (iii) $ 20,000
9. (ii) 6 m
II. State True or False:
1. Area is measured in metres.
2. If both length and breadth of a rectangle are doubled, then its area becomes two times.
3. If a piece of string of length 32.4 cm is reformed as a square, side of the square is 8.1 cm.
4. If length of a rectangle is x and breadth is half of the length, then perimeter of the rectangle is given by 2x.
Answer:
II. 1. False
2. False
3. True
4. False
III. Fill in the blanks:
1. Each side of a regular pentagon is 8 cm. Its perimeter is __________.
2. The perimeter of a square is 144 cm. Its area = __________ sq.cm.
3. The area of a rectangle of 20 m long is 240 m². Its perimeter is __________ m.
4. The measure of the region enclosed by a plane figure is called its __________.
Answer:
III. 1. 40 cm
2. 1296 sq.cm.
3. 64 m.
4. area
IV: Short and Long Answer Type Questions:
1. What is the perimeter of a square whose area is 225 cm²?
2. What is the perimeter of a square having area 144 cm²?
3. The perimeter of a square is 16 cm. What is its area?
4. What happens to the area of a square, if its side is halved?
5. The perimeter of a rectangle is 24 cm. If its lengths is 8 cm, then find its breadth.
Answer:
IV: 1. 60 cm
2. 48 cm
3. 16 cm²
4. If its side is halved of a square, then the area becomes one fourth.
5. 4 cm
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