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 65m X 40m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 2) A play ground 40m X 35m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 3) A play ground 70m X 35m is extended on all sides by 9m. What is the extended area. sq.m. Answer:_______________ |
| 4) A play ground 45m X 25m is extended on all sides by 2m. What is the extended area. sq.m. Answer:_______________ |
| 5) A play ground 55m X 40m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 6) A play ground 45m X 45m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 7) A play ground 75m X 50m is extended on all sides by 7m. What is the extended area. sq.m. Answer:_______________ |
| 8) A play ground 55m X 30m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 9) A play ground 75m X 55m is extended on all sides by 7m. What is the extended area. sq.m. Answer:_______________ |
| 10) A play ground 45m X 50m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 1) A play ground 65m X 40m is extended on all sides by 5m. What is the extended area. Answer: 3750 sq.m. SOLUTION 1 : Length of the play ground (l) = 65m Breadth of the play ground (b) = 40m Width (w) = 5m 5m 5m 5m 5m 65m 40m Area of the inner rectangle = l x b = 65 x 40 = 2600 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 5 = 10m = (65 + 10) x (40 + 10) = 75 x 50 = 3750 sq.m. |
| 2) A play ground 40m X 35m is extended on all sides by 5m. What is the extended area. Answer: 2250 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 35m Width (w) = 5m 5m 5m 5m 5m 40m 35m Area of the inner rectangle = l x b = 40 x 35 = 1400 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 5 = 10m = (40 + 10) x (35 + 10) = 50 x 45 = 2250 sq.m. |
| 3) A play ground 70m X 35m is extended on all sides by 9m. What is the extended area. Answer: 4664 sq.m. SOLUTION 1 : Length of the play ground (l) = 70m Breadth of the play ground (b) = 35m Width (w) = 9m 9m 9m 9m 9m 70m 35m Area of the inner rectangle = l x b = 70 x 35 = 2450 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 9 = 18m = (70 + 18) x (35 + 18) = 88 x 53 = 4664 sq.m. |
| 4) A play ground 45m X 25m is extended on all sides by 2m. What is the extended area. Answer: 1421 sq.m. SOLUTION 1 : Length of the play ground (l) = 45m Breadth of the play ground (b) = 25m Width (w) = 2m 2m 2m 2m 2m 45m 25m Area of the inner rectangle = l x b = 45 x 25 = 1125 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 2 = 4m = (45 + 4) x (25 + 4) = 49 x 29 = 1421 sq.m. |
| 5) A play ground 55m X 40m is extended on all sides by 4m. What is the extended area. Answer: 3024 sq.m. SOLUTION 1 : Length of the play ground (l) = 55m Breadth of the play ground (b) = 40m Width (w) = 4m 4m 4m 4m 4m 55m 40m Area of the inner rectangle = l x b = 55 x 40 = 2200 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 4 = 8m = (55 + 8) x (40 + 8) = 63 x 48 = 3024 sq.m. |
| 6) A play ground 45m X 45m is extended on all sides by 4m. What is the extended area. Answer: 2809 sq.m. SOLUTION 1 : Length of the play ground (l) = 45m Breadth of the play ground (b) = 45m Width (w) = 4m 4m 4m 4m 4m 45m 45m Area of the inner rectangle = l x b = 45 x 45 = 2025 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 4 = 8m = (45 + 8) x (45 + 8) = 53 x 53 = 2809 sq.m. |
| 7) A play ground 75m X 50m is extended on all sides by 7m. What is the extended area. Answer: 5696 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 50m Width (w) = 7m 7m 7m 7m 7m 75m 50m Area of the inner rectangle = l x b = 75 x 50 = 3750 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 7 = 14m = (75 + 14) x (50 + 14) = 89 x 64 = 5696 sq.m. |
| 8) A play ground 55m X 30m is extended on all sides by 4m. What is the extended area. Answer: 2394 sq.m. SOLUTION 1 : Length of the play ground (l) = 55m Breadth of the play ground (b) = 30m Width (w) = 4m 4m 4m 4m 4m 55m 30m Area of the inner rectangle = l x b = 55 x 30 = 1650 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 4 = 8m = (55 + 8) x (30 + 8) = 63 x 38 = 2394 sq.m. |
| 9) A play ground 75m X 55m is extended on all sides by 7m. What is the extended area. Answer: 6141 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 55m Width (w) = 7m 7m 7m 7m 7m 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 7 = 14m = (75 + 14) x (55 + 14) = 89 x 69 = 6141 sq.m. |
| 10) A play ground 45m X 50m is extended on all sides by 5m. What is the extended area. Answer: 3300 sq.m. SOLUTION 1 : Length of the play ground (l) = 45m Breadth of the play ground (b) = 50m Width (w) = 5m 5m 5m 5m 5m 45m 50m Area of the inner rectangle = l x b = 45 x 50 = 2250 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 5 = 10m = (45 + 10) x (50 + 10) = 55 x 60 = 3300 sq.m. |