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 50m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 2) A play ground 50m X 35m is extended on all sides by 8m. What is the extended area. sq.m. Answer:_______________ |
| 3) A play ground 75m X 55m is extended on all sides by 6m. What is the extended area. sq.m. Answer:_______________ |
| 4) A play ground 60m X 30m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 5) A play ground 70m X 40m is extended on all sides by 6m. What is the extended area. sq.m. Answer:_______________ |
| 6) A play ground 40m X 45m is extended on all sides by 3m. What is the extended area. sq.m. Answer:_______________ |
| 7) A play ground 45m X 25m is extended on all sides by 2m. What is the extended area. sq.m. Answer:_______________ |
| 8) A play ground 65m X 45m is extended on all sides by 3m. What is the extended area. sq.m. Answer:_______________ |
| 9) A play ground 40m X 55m is extended on all sides by 7m. What is the extended area. sq.m. Answer:_______________ |
| 10) A play ground 70m X 55m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 1) A play ground 40m X 50m is extended on all sides by 5m. What is the extended area. Answer: 3000 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 50m Width (w) = 5m 5m 5m 5m 5m 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 5 = 10m = (40 + 10) x (50 + 10) = 50 x 60 = 3000 sq.m. |
| 2) A play ground 50m X 35m is extended on all sides by 8m. What is the extended area. Answer: 3366 sq.m. SOLUTION 1 : Length of the play ground (l) = 50m Breadth of the play ground (b) = 35m Width (w) = 8m 8m 8m 8m 8m 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 8 = 16m = (50 + 16) x (35 + 16) = 66 x 51 = 3366 sq.m. |
| 3) A play ground 75m X 55m is extended on all sides by 6m. What is the extended area. Answer: 5829 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 55m Width (w) = 6m 6m 6m 6m 6m 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 6 = 12m = (75 + 12) x (55 + 12) = 87 x 67 = 5829 sq.m. |
| 4) A play ground 60m X 30m is extended on all sides by 5m. What is the extended area. Answer: 2800 sq.m. SOLUTION 1 : Length of the play ground (l) = 60m Breadth of the play ground (b) = 30m Width (w) = 5m 5m 5m 5m 5m 60m 30m Area of the inner rectangle = l x b = 60 x 30 = 1800 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 5 = 10m = (60 + 10) x (30 + 10) = 70 x 40 = 2800 sq.m. |
| 5) 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. |
| 6) A play ground 40m X 45m is extended on all sides by 3m. What is the extended area. Answer: 2346 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 45m Width (w) = 3m 3m 3m 3m 3m 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 3 = 6m = (40 + 6) x (45 + 6) = 46 x 51 = 2346 sq.m. |
| 7) 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. |
| 8) A play ground 65m X 45m is extended on all sides by 3m. What is the extended area. Answer: 3621 sq.m. SOLUTION 1 : Length of the play ground (l) = 65m Breadth of the play ground (b) = 45m Width (w) = 3m 3m 3m 3m 3m 65m 45m Area of the inner rectangle = l x b = 65 x 45 = 2925 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 3 = 6m = (65 + 6) x (45 + 6) = 71 x 51 = 3621 sq.m. |
| 9) A play ground 40m X 55m is extended on all sides by 7m. What is the extended area. Answer: 3726 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 55m Width (w) = 7m 7m 7m 7m 7m 40m 55m Area of the inner rectangle = l x b = 40 x 55 = 2200 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 7 = 14m = (40 + 14) x (55 + 14) = 54 x 69 = 3726 sq.m. |
| 10) A play ground 70m X 55m is extended on all sides by 5m. What is the extended area. Answer: 5200 sq.m. SOLUTION 1 : Length of the play ground (l) = 70m Breadth of the play ground (b) = 55m Width (w) = 5m 5m 5m 5m 5m 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 5 = 10m = (70 + 10) x (55 + 10) = 80 x 65 = 5200 sq.m. |