Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) A play ground 75m X 30m is extended on all sides by 3m. What is the extended area. sq.m. Answer:_______________ |
| 2) A play ground 75m X 25m is extended on all sides by 6m. What is the extended area. sq.m. Answer:_______________ |
| 3) A play ground 70m X 55m is extended on all sides by 3m. What is the extended area. sq.m. Answer:_______________ |
| 4) A play ground 60m X 35m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 5) A play ground 60m X 45m is extended on all sides by 7m. What is the extended area. sq.m. Answer:_______________ |
| 6) A play ground 75m X 55m is extended on all sides by 9m. What is the extended area. sq.m. Answer:_______________ |
| 7) A play ground 50m X 35m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 8) A play ground 70m X 30m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 9) A play ground 55m X 25m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 10) A play ground 75m X 25m is extended on all sides by 3m. What is the extended area. sq.m. Answer:_______________ |
| 1) A play ground 75m X 30m is extended on all sides by 3m. What is the extended area. Answer: 2916 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 30m Width (w) = 3m 3m 3m 3m 3m 75m 30m Area of the inner rectangle = l x b = 75 x 30 = 2250 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 3 = 6m = (75 + 6) x (30 + 6) = 81 x 36 = 2916 sq.m. |
| 2) A play ground 75m X 25m is extended on all sides by 6m. What is the extended area. Answer: 3219 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 25m Width (w) = 6m 6m 6m 6m 6m 75m 25m Area of the inner rectangle = l x b = 75 x 25 = 1875 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 6 = 12m = (75 + 12) x (25 + 12) = 87 x 37 = 3219 sq.m. |
| 3) A play ground 70m X 55m is extended on all sides by 3m. What is the extended area. Answer: 4636 sq.m. SOLUTION 1 : Length of the play ground (l) = 70m Breadth of the play ground (b) = 55m Width (w) = 3m 3m 3m 3m 3m 70m 55m Area of the inner rectangle = l x b = 70 x 55 = 3850 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 3 = 6m = (70 + 6) x (55 + 6) = 76 x 61 = 4636 sq.m. |
| 4) A play ground 60m X 35m is extended on all sides by 5m. What is the extended area. Answer: 3150 sq.m. SOLUTION 1 : Length of the play ground (l) = 60m Breadth of the play ground (b) = 35m Width (w) = 5m 5m 5m 5m 5m 60m 35m Area of the inner rectangle = l x b = 60 x 35 = 2100 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 5 = 10m = (60 + 10) x (35 + 10) = 70 x 45 = 3150 sq.m. |
| 5) A play ground 60m X 45m is extended on all sides by 7m. What is the extended area. Answer: 4366 sq.m. SOLUTION 1 : Length of the play ground (l) = 60m Breadth of the play ground (b) = 45m Width (w) = 7m 7m 7m 7m 7m 60m 45m Area of the inner rectangle = l x b = 60 x 45 = 2700 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 7 = 14m = (60 + 14) x (45 + 14) = 74 x 59 = 4366 sq.m. |
| 6) A play ground 75m X 55m is extended on all sides by 9m. What is the extended area. Answer: 6789 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 55m Width (w) = 9m 9m 9m 9m 9m 75m 55m Area of the inner rectangle = l x b = 75 x 55 = 4125 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 9 = 18m = (75 + 18) x (55 + 18) = 93 x 73 = 6789 sq.m. |
| 7) A play ground 50m X 35m is extended on all sides by 4m. What is the extended area. Answer: 2494 sq.m. SOLUTION 1 : Length of the play ground (l) = 50m Breadth of the play ground (b) = 35m Width (w) = 4m 4m 4m 4m 4m 50m 35m Area of the inner rectangle = l x b = 50 x 35 = 1750 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 4 = 8m = (50 + 8) x (35 + 8) = 58 x 43 = 2494 sq.m. |
| 8) A play ground 70m X 30m is extended on all sides by 4m. What is the extended area. Answer: 2964 sq.m. SOLUTION 1 : Length of the play ground (l) = 70m Breadth of the play ground (b) = 30m Width (w) = 4m 4m 4m 4m 4m 70m 30m Area of the inner rectangle = l x b = 70 x 30 = 2100 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 4 = 8m = (70 + 8) x (30 + 8) = 78 x 38 = 2964 sq.m. |
| 9) A play ground 55m X 25m is extended on all sides by 5m. What is the extended area. Answer: 2275 sq.m. SOLUTION 1 : Length of the play ground (l) = 55m Breadth of the play ground (b) = 25m Width (w) = 5m 5m 5m 5m 5m 55m 25m Area of the inner rectangle = l x b = 55 x 25 = 1375 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 5 = 10m = (55 + 10) x (25 + 10) = 65 x 35 = 2275 sq.m. |
| 10) A play ground 75m X 25m is extended on all sides by 3m. What is the extended area. Answer: 2511 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 25m Width (w) = 3m 3m 3m 3m 3m 75m 25m Area of the inner rectangle = l x b = 75 x 25 = 1875 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 3 = 6m = (75 + 6) x (25 + 6) = 81 x 31 = 2511 sq.m. |