We will practice the questions given in the worksheet on area of a square and rectangle. We know the amount of surface that a plane figure covers is called its area.
1. Find the area of the square length of whose sides are given below:
(i) 15 m
(ii) 250 m
(iii) 25 cm
(iv) 40 cm
(v) 10 m
2. Fill in the blanks:
(i) (ii) (iii)
(iv) (v) (vi) |
Length 7 cm
12 cm 9 cm 18 cm _____ 16 cm |
Breadth 4 cm
4 cm 7 cm _____ 15 cm 16 cm |
Area _____ _____ _____ 126 cm^{2} 135 cm^{2}
_____ |
3. Which square unit would you use to measure the area of the given objects?
(i) This worksheet (A4 sheet) __________ .
(ii) The classroom floor __________ .
(iii) The blackboard __________ .
(iv) Your City __________ .
4. Complete the given table:
5. Find the area of the given.
(i) Square of side 3.5 cm
(ii) Square of side 0.05 m
(iii) Rectangle of length 80 mm and breadth 30 mm
(iv) Rectangle of length 9 m and breadth 80 cm
6. Find the area of the following squares:
7. Find the area of the square, whose:
(i) side = 14 cm
(ii) side = 86 cm
(iii) side = 9 cm
(iv) side = 12 m
(v) side = 20 m
(vi) side = 6 cm
(vii) side = 90 dm
(viii) side = 110 cm
(ix) side = 216 dm
8. Find the area of the following rectangles:
9. Find the area of the rectangle whose:
(i) Length = 100 m, breadth = 60 m
(ii) Length = 90 cm, breadth = 24 m
(iii) Length =7 cm, breadth = 6 m
(iv) Length = 120 m, breadth = 6 cm
(v) Length = 2 m, breadth = 80 cm
(vi) Length = 1 m 10 cm, breadth = 80 cm
Worksheet on Word Problems on Area of a Square and Rectangle:
10. Tara wants a new carpet for her rectangular dining room. Her dining room is a rectangle of 5 meters by 7 meters. What will be the area of her carpet that covers her entire dining room?
11. A carpet is 6 m long and 4.5 m wide. Find its area.
12. A square field has perimeter 540 m. What is the length of its side and area?
13. Find the area of the floor of a square room in square metres whose each side is 800 cm.
14. 100 bricks of length 24 cm and breadth 15 cm are used to tile a path of a garden. What is the area of the path?
15. How many bricks will be required to lay a path 120 m long and 2.4 m breadth if a brick is 24 cm long and 15 cm wide?
16. Find the cost of tiling a dining room 20 m long and 15 m wide at the rate of $ 5 per square m.
17. A carpet is 5 m long and 4 m wide. Find its price at the rate of $ 205 per square meter.
18. How many square tiles of side 10 cm will be required to tile a floor measuring 800 cm by 900 cm?
19. How many tiles of length 5 cm and breadth 8 cm are needed to tile the floor of a bed room 200 cm long and 400 cm wide?
20. What will be the area of a square with perimeter 200 m?
21. A laptop measures 22 cm by 18 cm. What is the area of the laptop?
22. A square-shaped play ground has an area of 529 sq. m. What is the perimeter of that play ground?
23. A large rectangular dining table has sides of 7 m and 4 m. What is the perimeter of the table? What is its area?
Answers for the worksheet on area of a square and rectangle are given below.
Answers:
1. (i) 225 sq m
(ii) 62500 sq m
(iii) 625 sq cm
(iv) 1600 sq cm
(v) 100 sq m
2. (i) 28 sq cm
(ii) 48 sq cm
(iii) 63 sq cm
(iv) 7 cm
(v) 9 cm
(vi) 256 sq cm
3. (i) sq. cm
(ii) sq. m
(iii) sq. m
(iv) sq. km
(v) sq. mm
4. (i) 20 m, 72 m
(ii) 7 cm, 196 sq. cm
(iii) 21 m, 21 m, 441 sq. m
(iv) 140 mm
(v) 4 m, 16 m
5. (i) 12.25 sq cm
(ii) 0.0025 sq cm
(iii) 2400 sq mm
(iv) 72000 sq cm
6. (i) 25 sq. cm
(ii) 100 sq. cm
(iii) 20 sq. cm
7. (i) 196 sq. cm
(ii) 7396 sq. cm
(iii) 81 sq. cm
(iv) 144 sq. m
(v) 400 sq. m
(vi) 36 sq. cm
(vii) 8100 sq. dm
(viii) 12100 sq. cm
(ix) 46656 sq. dm
8. (i) 12 sq. cm
(ii) 108 sq. cm
(iii) 150 sq. cm
9. (i) 6000 sq. m
(ii) 21.60 sq. m
(iii) 0.42 sq. m
(iv) 12 sq. cm
(v) 1.60 sq. m
(vi) 0.88 sq. m
10. 35 sq m
11. 27 sq m
12. 135 m, 18225 sq. m
13. 64 sq m
14. 36000 sq. cm
15. 8000 bricks
16. $1500
17. $ 4100
18. 7200 tiles
19. 2000 tiles
20. 2500 sq m
21. 396 sq. cm
22. 92 m
23. Perimeter = 22, Area = 28 sq. m
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