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 60m X 35m is extended on all sides by 2m. What is the extended area. sq.m. Answer:_______________ |
| 2) A play ground 65m X 40m is extended on all sides by 7m. What is the extended area. sq.m. Answer:_______________ |
| 3) A play ground 50m X 20m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 4) A play ground 40m X 30m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 5) A play ground 40m X 45m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 6) A play ground 70m X 30m is extended on all sides by 9m. What is the extended area. sq.m. Answer:_______________ |
| 7) A play ground 75m X 30m is extended on all sides by 2m. What is the extended area. sq.m. Answer:_______________ |
| 8) A play ground 50m X 30m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 9) A play ground 70m X 20m is extended on all sides by 2m. What is the extended area. sq.m. Answer:_______________ |
| 10) A play ground 75m X 40m is extended on all sides by 9m. What is the extended area. sq.m. Answer:_______________ |
| 1) A play ground 60m X 35m is extended on all sides by 2m. What is the extended area. Answer: 2496 sq.m. SOLUTION 1 : Length of the play ground (l) = 60m Breadth of the play ground (b) = 35m Width (w) = 2m 2m 2m 2m 2m 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 2 = 4m = (60 + 4) x (35 + 4) = 64 x 39 = 2496 sq.m. |
| 2) A play ground 65m X 40m is extended on all sides by 7m. What is the extended area. Answer: 4266 sq.m. SOLUTION 1 : Length of the play ground (l) = 65m Breadth of the play ground (b) = 40m Width (w) = 7m 7m 7m 7m 7m 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 7 = 14m = (65 + 14) x (40 + 14) = 79 x 54 = 4266 sq.m. |
| 3) A play ground 50m X 20m is extended on all sides by 5m. What is the extended area. Answer: 1800 sq.m. SOLUTION 1 : Length of the play ground (l) = 50m Breadth of the play ground (b) = 20m Width (w) = 5m 5m 5m 5m 5m 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 5 = 10m = (50 + 10) x (20 + 10) = 60 x 30 = 1800 sq.m. |
| 4) 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. |
| 5) A play ground 40m X 45m is extended on all sides by 5m. What is the extended area. Answer: 2750 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 45m Width (w) = 5m 5m 5m 5m 5m 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 5 = 10m = (40 + 10) x (45 + 10) = 50 x 55 = 2750 sq.m. |
| 6) A play ground 70m X 30m is extended on all sides by 9m. What is the extended area. Answer: 4224 sq.m. SOLUTION 1 : Length of the play ground (l) = 70m Breadth of the play ground (b) = 30m Width (w) = 9m 9m 9m 9m 9m 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 9 = 18m = (70 + 18) x (30 + 18) = 88 x 48 = 4224 sq.m. |
| 7) A play ground 75m X 30m is extended on all sides by 2m. What is the extended area. Answer: 2686 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 30m Width (w) = 2m 2m 2m 2m 2m 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 2 = 4m = (75 + 4) x (30 + 4) = 79 x 34 = 2686 sq.m. |
| 8) A play ground 50m X 30m is extended on all sides by 5m. What is the extended area. Answer: 2400 sq.m. SOLUTION 1 : Length of the play ground (l) = 50m Breadth of the play ground (b) = 30m Width (w) = 5m 5m 5m 5m 5m 50m 30m Area of the inner rectangle = l x b = 50 x 30 = 1500 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 5 = 10m = (50 + 10) x (30 + 10) = 60 x 40 = 2400 sq.m. |
| 9) A play ground 70m X 20m is extended on all sides by 2m. What is the extended area. Answer: 1776 sq.m. SOLUTION 1 : Length of the play ground (l) = 70m Breadth of the play ground (b) = 20m Width (w) = 2m 2m 2m 2m 2m 70m 20m Area of the inner rectangle = l x b = 70 x 20 = 1400 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 2 = 4m = (70 + 4) x (20 + 4) = 74 x 24 = 1776 sq.m. |
| 10) A play ground 75m X 40m is extended on all sides by 9m. What is the extended area. Answer: 5394 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 40m Width (w) = 9m 9m 9m 9m 9m 75m 40m Area of the inner rectangle = l x b = 75 x 40 = 3000 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 9 = 18m = (75 + 18) x (40 + 18) = 93 x 58 = 5394 sq.m. |