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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 cm2 135 cm2
_____ |
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 square in each case.
(i) Side = 6.5 cm
(ii) Side = 9 cm
(iii) Side = 8.5 cm
(iv) Side = 12 cm
(v) Side = 4.5 cm
(vi) Side = 7 cm
(vii) Side = 4 cm
(viii) Side = 9.5 cm
(ix) Side = 3.5 cm
(x) Side = 5.5 cm
9. Find the area of the following rectangles:
10. 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
11. Find the area of the rectangle in each case.
1. Length = 8 cm; Breadth = 5 cm
2. Length = 10.5 cm; Breadth = 8.5 cm
3. Length = 15 cm; Breadth = 9.5 cm
4. Length = 12 cm; Breadth = 11 cm
5. Length = 9 cm; Breadth = 8 cm
6. Length = 4.5 cm; Breadth = 3 cm
7. Length = 6 cm; Breadth = 4 cm
8. Length = 9.5 cm; Breadth = 8 cm
9. Length = 7.5 cm; Breadth = 6 cm
10. Length = 8 cm; Breadth = 4.5 cm
12. Find the area of the room in each case.
1. Length = 8 m, Breadth = 6 m, Height = 9 m
2. Length = 5 m, Breadth = 3 m, Height = 6 m
3. Length = 10 m, Breadth = 7 m, Height = 15 m
4. Length = 6 m, Breadth = 4 m, Height = 9 m
13. Complete the table:
14: Solve the following word problems.
(i) 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?
(ii) A carpet is 6 m long and 4.5 m wide. Find its area.
(iii) A square field has perimeter 540 m. What is the length of its side and area?
(iv) Find the area of the floor of a square room in square metres whose each side is 800 cm.
(v) 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?
(vi) 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?
(vii) Find the cost of tiling a dining room 20 m long and 15 m wide at the rate of $ 5 per square m.
(viii) A carpet is 5 m long and 4 m wide. Find its price at the rate of $ 205 per square meter.
(ix) How many square tiles of side 10 cm will be required to tile a floor measuring 800 cm by 900 cm?
(x) 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?
(xi) What will be the area of a square with perimeter 200 m?
(xii) A laptop measures 22 cm by 18 cm. What is the area of the laptop?
(xiii) A square-shaped play ground has an area of 529 sq. m. What is the perimeter of that play ground?
(xiv) A large rectangular dining table has sides of 7 m and 4 m. What is the perimeter of the table? What is its area?
(xv) Find the area of a rectangular park having length 17 m and breadth 11 m.
(xvi) The side of a square shaped lawn is 35 m. Find its area.
(xvii) How many cards of size 15 cm x 10 cm can be cut from a sheet of paper of size 30 cm x 20 cm?
(xviii) Christopher has a lawn in his farm house whose width is 28 m. If the area of the lawn is 1820 m², find its length.
(xvix) A conference room is 25 m long, 20 m broad and 15 m high. Find the area of the conference room.
(xx) A class room is 12 m long, 9 m broad and 8.5 m high. What is the area of the room?
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) 42.25 cm2
(ii) 81 cm2
(iii) 72.25 cm2
(iv) 144 cm2
(v) 20.25 cm2
(vi) 49 cm2
(vii) 16 cm2
(viii) 90.25 cm2
(ix) 12.25 cm2
(x) 30.25 cm2
9. (i) 12 sq. cm
(ii) 108 sq. cm
(iii) 150 sq. cm
10. (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
11. 1. 40 cm2
2. 89.25 cm2
3. 142.5 cm2
4. 132 cm2
5. 72 cm2
6. 13.5 cm2
7. 24 cm2
8. 76 cm2
9. 45 cm2
10. 36 cm2
12.
13. 1. 252 m2
2. 96 m2
3. 510 m2
4. 180 m2
14. (i) 35 sq m
(ii) 27 sq m
(iii) 135 m, 18225 sq. m
(iv) 64 sq m
(v) 36000 sq. cm
(vi) 8000 bricks
(vii) $1500
(viii) $ 4100
(ix) 7200 tiles
(x) 2000 tiles
(xi) 2500 sq m
(xii) 396 sq. cm
(xiii) 92 m
(xiv) Perimeter = 22, Area = 28 sq. m
(xv) 187 m2
(xvi) 1225 m2
(xvii) 4
(xviii) 65 m
(xvix) 1350 m2
(xx) 357 m2
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