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 40m X 45m is extended on all sides by 7m. What is the extended area. sq.m. Answer:_______________ |
| 2) A play ground 70m X 40m is extended on all sides by 6m. What is the extended area. sq.m. Answer:_______________ |
| 3) A play ground 65m X 35m is extended on all sides by 8m. What is the extended area. sq.m. Answer:_______________ |
| 4) A play ground 55m X 55m is extended on all sides by 8m. What is the extended area. sq.m. Answer:_______________ |
| 5) A play ground 75m X 20m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 6) A play ground 75m X 45m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 7) A play ground 45m X 30m is extended on all sides by 6m. What is the extended area. sq.m. Answer:_______________ |
| 8) A play ground 50m X 25m is extended on all sides by 8m. What is the extended area. sq.m. Answer:_______________ |
| 9) A play ground 55m X 20m is extended on all sides by 3m. What is the extended area. sq.m. Answer:_______________ |
| 10) A play ground 65m X 40m is extended on all sides by 2m. What is the extended area. sq.m. Answer:_______________ |
| 1) A play ground 40m X 45m is extended on all sides by 7m. What is the extended area. Answer: 3186 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 45m Width (w) = 7m 7m 7m 7m 7m 40m 45m Area of the inner rectangle = l x b = 40 x 45 = 1800 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 7 = 14m = (40 + 14) x (45 + 14) = 54 x 59 = 3186 sq.m. |
| 2) A play ground 70m X 40m is extended on all sides by 6m. What is the extended area. Answer: 4264 sq.m. SOLUTION 1 : Length of the play ground (l) = 70m Breadth of the play ground (b) = 40m Width (w) = 6m 6m 6m 6m 6m 70m 40m Area of the inner rectangle = l x b = 70 x 40 = 2800 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 6 = 12m = (70 + 12) x (40 + 12) = 82 x 52 = 4264 sq.m. |
| 3) A play ground 65m X 35m is extended on all sides by 8m. What is the extended area. Answer: 4131 sq.m. SOLUTION 1 : Length of the play ground (l) = 65m Breadth of the play ground (b) = 35m Width (w) = 8m 8m 8m 8m 8m 65m 35m Area of the inner rectangle = l x b = 65 x 35 = 2275 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 8 = 16m = (65 + 16) x (35 + 16) = 81 x 51 = 4131 sq.m. |
| 4) A play ground 55m X 55m is extended on all sides by 8m. What is the extended area. Answer: 5041 sq.m. SOLUTION 1 : Length of the play ground (l) = 55m Breadth of the play ground (b) = 55m Width (w) = 8m 8m 8m 8m 8m 55m 55m Area of the inner rectangle = l x b = 55 x 55 = 3025 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 8 = 16m = (55 + 16) x (55 + 16) = 71 x 71 = 5041 sq.m. |
| 5) A play ground 75m X 20m is extended on all sides by 4m. What is the extended area. Answer: 2324 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 20m Width (w) = 4m 4m 4m 4m 4m 75m 20m Area of the inner rectangle = l x b = 75 x 20 = 1500 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 4 = 8m = (75 + 8) x (20 + 8) = 83 x 28 = 2324 sq.m. |
| 6) A play ground 75m X 45m is extended on all sides by 4m. What is the extended area. Answer: 4399 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 45m Width (w) = 4m 4m 4m 4m 4m 75m 45m Area of the inner rectangle = l x b = 75 x 45 = 3375 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 4 = 8m = (75 + 8) x (45 + 8) = 83 x 53 = 4399 sq.m. |
| 7) A play ground 45m X 30m is extended on all sides by 6m. What is the extended area. Answer: 2394 sq.m. SOLUTION 1 : Length of the play ground (l) = 45m Breadth of the play ground (b) = 30m Width (w) = 6m 6m 6m 6m 6m 45m 30m Area of the inner rectangle = l x b = 45 x 30 = 1350 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 6 = 12m = (45 + 12) x (30 + 12) = 57 x 42 = 2394 sq.m. |
| 8) A play ground 50m X 25m is extended on all sides by 8m. What is the extended area. Answer: 2706 sq.m. SOLUTION 1 : Length of the play ground (l) = 50m Breadth of the play ground (b) = 25m Width (w) = 8m 8m 8m 8m 8m 50m 25m Area of the inner rectangle = l x b = 50 x 25 = 1250 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 8 = 16m = (50 + 16) x (25 + 16) = 66 x 41 = 2706 sq.m. |
| 9) A play ground 55m X 20m is extended on all sides by 3m. What is the extended area. Answer: 1586 sq.m. SOLUTION 1 : Length of the play ground (l) = 55m Breadth of the play ground (b) = 20m Width (w) = 3m 3m 3m 3m 3m 55m 20m Area of the inner rectangle = l x b = 55 x 20 = 1100 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 3 = 6m = (55 + 6) x (20 + 6) = 61 x 26 = 1586 sq.m. |
| 10) A play ground 65m X 40m is extended on all sides by 2m. What is the extended area. Answer: 3036 sq.m. SOLUTION 1 : Length of the play ground (l) = 65m Breadth of the play ground (b) = 40m Width (w) = 2m 2m 2m 2m 2m 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 2 = 4m = (65 + 4) x (40 + 4) = 69 x 44 = 3036 sq.m. |