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 35m is extended on all sides by 2m. What is the extended area. sq.m. Answer:_______________ |
| 2) A play ground 65m X 55m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 3) A play ground 45m X 50m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 4) A play ground 80m X 40m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 5) A play ground 40m X 40m is extended on all sides by 8m. What is the extended area. sq.m. Answer:_______________ |
| 6) A play ground 50m X 35m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 7) A play ground 40m X 55m is extended on all sides by 6m. What is the extended area. sq.m. Answer:_______________ |
| 8) A play ground 75m X 20m is extended on all sides by 7m. What is the extended area. sq.m. Answer:_______________ |
| 9) A play ground 50m X 25m is extended on all sides by 2m. What is the extended area. sq.m. Answer:_______________ |
| 10) A play ground 80m X 55m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 1) A play ground 40m X 35m is extended on all sides by 2m. What is the extended area. Answer: 1716 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 35m Width (w) = 2m 2m 2m 2m 2m 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 2 = 4m = (40 + 4) x (35 + 4) = 44 x 39 = 1716 sq.m. |
| 2) A play ground 65m X 55m is extended on all sides by 5m. What is the extended area. Answer: 4875 sq.m. SOLUTION 1 : Length of the play ground (l) = 65m Breadth of the play ground (b) = 55m Width (w) = 5m 5m 5m 5m 5m 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 5 = 10m = (65 + 10) x (55 + 10) = 75 x 65 = 4875 sq.m. |
| 3) A play ground 45m X 50m is extended on all sides by 4m. What is the extended area. Answer: 3074 sq.m. SOLUTION 1 : Length of the play ground (l) = 45m Breadth of the play ground (b) = 50m Width (w) = 4m 4m 4m 4m 4m 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 4 = 8m = (45 + 8) x (50 + 8) = 53 x 58 = 3074 sq.m. |
| 4) A play ground 80m X 40m is extended on all sides by 4m. What is the extended area. Answer: 4224 sq.m. SOLUTION 1 : Length of the play ground (l) = 80m Breadth of the play ground (b) = 40m Width (w) = 4m 4m 4m 4m 4m 80m 40m Area of the inner rectangle = l x b = 80 x 40 = 3200 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 4 = 8m = (80 + 8) x (40 + 8) = 88 x 48 = 4224 sq.m. |
| 5) A play ground 40m X 40m is extended on all sides by 8m. What is the extended area. Answer: 3136 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 40m Width (w) = 8m 8m 8m 8m 8m 40m 40m Area of the inner rectangle = l x b = 40 x 40 = 1600 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 8 = 16m = (40 + 16) x (40 + 16) = 56 x 56 = 3136 sq.m. |
| 6) A play ground 50m X 35m is extended on all sides by 4m. What is the extended area. Answer: 2494 sq.m. SOLUTION 1 : Length of the play ground (l) = 50m Breadth of the play ground (b) = 35m Width (w) = 4m 4m 4m 4m 4m 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 4 = 8m = (50 + 8) x (35 + 8) = 58 x 43 = 2494 sq.m. |
| 7) A play ground 40m X 55m is extended on all sides by 6m. What is the extended area. Answer: 3484 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 55m Width (w) = 6m 6m 6m 6m 6m 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 6 = 12m = (40 + 12) x (55 + 12) = 52 x 67 = 3484 sq.m. |
| 8) A play ground 75m X 20m is extended on all sides by 7m. What is the extended area. Answer: 3026 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 20m Width (w) = 7m 7m 7m 7m 7m 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 7 = 14m = (75 + 14) x (20 + 14) = 89 x 34 = 3026 sq.m. |
| 9) A play ground 50m X 25m is extended on all sides by 2m. What is the extended area. Answer: 1566 sq.m. SOLUTION 1 : Length of the play ground (l) = 50m Breadth of the play ground (b) = 25m Width (w) = 2m 2m 2m 2m 2m 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 2 = 4m = (50 + 4) x (25 + 4) = 54 x 29 = 1566 sq.m. |
| 10) A play ground 80m X 55m is extended on all sides by 4m. What is the extended area. Answer: 5544 sq.m. SOLUTION 1 : Length of the play ground (l) = 80m Breadth of the play ground (b) = 55m Width (w) = 4m 4m 4m 4m 4m 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 4 = 8m = (80 + 8) x (55 + 8) = 88 x 63 = 5544 sq.m. |