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 35m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 2) A play ground 45m X 50m is extended on all sides by 3m. What is the extended area. sq.m. Answer:_______________ |
| 3) A play ground 40m X 50m is extended on all sides by 8m. What is the extended area. sq.m. Answer:_______________ |
| 4) A play ground 50m X 20m is extended on all sides by 2m. What is the extended area. sq.m. Answer:_______________ |
| 5) A play ground 40m X 30m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 6) A play ground 65m X 55m is extended on all sides by 3m. What is the extended area. sq.m. Answer:_______________ |
| 7) A play ground 50m X 45m is extended on all sides by 9m. What is the extended area. sq.m. Answer:_______________ |
| 8) A play ground 75m X 35m is extended on all sides by 7m. What is the extended area. sq.m. Answer:_______________ |
| 9) A play ground 80m X 55m is extended on all sides by 8m. What is the extended area. sq.m. Answer:_______________ |
| 10) A play ground 40m X 35m is extended on all sides by 6m. What is the extended area. sq.m. Answer:_______________ |
| 1) A play ground 75m X 35m is extended on all sides by 4m. What is the extended area. Answer: 3569 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 35m Width (w) = 4m 4m 4m 4m 4m 75m 35m Area of the inner rectangle = l x b = 75 x 35 = 2625 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 4 = 8m = (75 + 8) x (35 + 8) = 83 x 43 = 3569 sq.m. |
| 2) A play ground 45m X 50m is extended on all sides by 3m. What is the extended area. Answer: 2856 sq.m. SOLUTION 1 : Length of the play ground (l) = 45m Breadth of the play ground (b) = 50m Width (w) = 3m 3m 3m 3m 3m 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 3 = 6m = (45 + 6) x (50 + 6) = 51 x 56 = 2856 sq.m. |
| 3) A play ground 40m X 50m is extended on all sides by 8m. What is the extended area. Answer: 3696 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 50m Width (w) = 8m 8m 8m 8m 8m 40m 50m Area of the inner rectangle = l x b = 40 x 50 = 2000 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 8 = 16m = (40 + 16) x (50 + 16) = 56 x 66 = 3696 sq.m. |
| 4) A play ground 50m X 20m is extended on all sides by 2m. What is the extended area. Answer: 1296 sq.m. SOLUTION 1 : Length of the play ground (l) = 50m Breadth of the play ground (b) = 20m Width (w) = 2m 2m 2m 2m 2m 50m 20m Area of the inner rectangle = l x b = 50 x 20 = 1000 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 2 = 4m = (50 + 4) x (20 + 4) = 54 x 24 = 1296 sq.m. |
| 5) A play ground 40m X 30m is extended on all sides by 4m. What is the extended area. Answer: 1824 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 30m Width (w) = 4m 4m 4m 4m 4m 40m 30m Area of the inner rectangle = l x b = 40 x 30 = 1200 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 4 = 8m = (40 + 8) x (30 + 8) = 48 x 38 = 1824 sq.m. |
| 6) A play ground 65m X 55m is extended on all sides by 3m. What is the extended area. Answer: 4331 sq.m. SOLUTION 1 : Length of the play ground (l) = 65m Breadth of the play ground (b) = 55m Width (w) = 3m 3m 3m 3m 3m 65m 55m Area of the inner rectangle = l x b = 65 x 55 = 3575 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 3 = 6m = (65 + 6) x (55 + 6) = 71 x 61 = 4331 sq.m. |
| 7) A play ground 50m X 45m is extended on all sides by 9m. What is the extended area. Answer: 4284 sq.m. SOLUTION 1 : Length of the play ground (l) = 50m Breadth of the play ground (b) = 45m Width (w) = 9m 9m 9m 9m 9m 50m 45m Area of the inner rectangle = l x b = 50 x 45 = 2250 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 9 = 18m = (50 + 18) x (45 + 18) = 68 x 63 = 4284 sq.m. |
| 8) A play ground 75m X 35m is extended on all sides by 7m. What is the extended area. Answer: 4361 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 35m Width (w) = 7m 7m 7m 7m 7m 75m 35m Area of the inner rectangle = l x b = 75 x 35 = 2625 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 7 = 14m = (75 + 14) x (35 + 14) = 89 x 49 = 4361 sq.m. |
| 9) A play ground 80m X 55m is extended on all sides by 8m. What is the extended area. Answer: 6816 sq.m. SOLUTION 1 : Length of the play ground (l) = 80m Breadth of the play ground (b) = 55m Width (w) = 8m 8m 8m 8m 8m 80m 55m Area of the inner rectangle = l x b = 80 x 55 = 4400 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 8 = 16m = (80 + 16) x (55 + 16) = 96 x 71 = 6816 sq.m. |
| 10) A play ground 40m X 35m is extended on all sides by 6m. What is the extended area. Answer: 2444 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 35m Width (w) = 6m 6m 6m 6m 6m 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 6 = 12m = (40 + 12) x (35 + 12) = 52 x 47 = 2444 sq.m. |