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 45m X 55m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 2) A play ground 65m X 55m is extended on all sides by 4m. What is the extended area. sq.m. Answer:_______________ |
| 3) A play ground 80m X 40m is extended on all sides by 3m. What is the extended area. sq.m. Answer:_______________ |
| 4) A play ground 40m X 35m is extended on all sides by 8m. What is the extended area. sq.m. Answer:_______________ |
| 5) A play ground 70m X 20m is extended on all sides by 2m. What is the extended area. sq.m. Answer:_______________ |
| 6) A play ground 55m X 35m is extended on all sides by 6m. What is the extended area. sq.m. Answer:_______________ |
| 7) A play ground 75m X 40m is extended on all sides by 8m. What is the extended area. sq.m. Answer:_______________ |
| 8) A play ground 65m X 35m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 9) A play ground 70m X 50m is extended on all sides by 5m. What is the extended area. sq.m. Answer:_______________ |
| 10) A play ground 60m X 35m is extended on all sides by 2m. What is the extended area. sq.m. Answer:_______________ |
| 1) A play ground 45m X 55m is extended on all sides by 4m. What is the extended area. Answer: 3339 sq.m. SOLUTION 1 : Length of the play ground (l) = 45m Breadth of the play ground (b) = 55m Width (w) = 4m 4m 4m 4m 4m 45m 55m Area of the inner rectangle = l x b = 45 x 55 = 2475 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 4 = 8m = (45 + 8) x (55 + 8) = 53 x 63 = 3339 sq.m. |
| 2) A play ground 65m X 55m is extended on all sides by 4m. What is the extended area. Answer: 4599 sq.m. SOLUTION 1 : Length of the play ground (l) = 65m Breadth of the play ground (b) = 55m Width (w) = 4m 4m 4m 4m 4m 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 4 = 8m = (65 + 8) x (55 + 8) = 73 x 63 = 4599 sq.m. |
| 3) A play ground 80m X 40m is extended on all sides by 3m. What is the extended area. Answer: 3956 sq.m. SOLUTION 1 : Length of the play ground (l) = 80m Breadth of the play ground (b) = 40m Width (w) = 3m 3m 3m 3m 3m 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 3 = 6m = (80 + 6) x (40 + 6) = 86 x 46 = 3956 sq.m. |
| 4) A play ground 40m X 35m is extended on all sides by 8m. What is the extended area. Answer: 2856 sq.m. SOLUTION 1 : Length of the play ground (l) = 40m Breadth of the play ground (b) = 35m Width (w) = 8m 8m 8m 8m 8m 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 8 = 16m = (40 + 16) x (35 + 16) = 56 x 51 = 2856 sq.m. |
| 5) 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. |
| 6) A play ground 55m X 35m is extended on all sides by 6m. What is the extended area. Answer: 3149 sq.m. SOLUTION 1 : Length of the play ground (l) = 55m Breadth of the play ground (b) = 35m Width (w) = 6m 6m 6m 6m 6m 55m 35m Area of the inner rectangle = l x b = 55 x 35 = 1925 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 6 = 12m = (55 + 12) x (35 + 12) = 67 x 47 = 3149 sq.m. |
| 7) A play ground 75m X 40m is extended on all sides by 8m. What is the extended area. Answer: 5096 sq.m. SOLUTION 1 : Length of the play ground (l) = 75m Breadth of the play ground (b) = 40m Width (w) = 8m 8m 8m 8m 8m 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 8 = 16m = (75 + 16) x (40 + 16) = 91 x 56 = 5096 sq.m. |
| 8) A play ground 65m X 35m is extended on all sides by 5m. What is the extended area. Answer: 3375 sq.m. SOLUTION 1 : Length of the play ground (l) = 65m Breadth of the play ground (b) = 35m Width (w) = 5m 5m 5m 5m 5m 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 5 = 10m = (65 + 10) x (35 + 10) = 75 x 45 = 3375 sq.m. |
| 9) A play ground 70m X 50m is extended on all sides by 5m. What is the extended area. Answer: 4800 sq.m. SOLUTION 1 : Length of the play ground (l) = 70m Breadth of the play ground (b) = 50m Width (w) = 5m 5m 5m 5m 5m 70m 50m Area of the inner rectangle = l x b = 70 x 50 = 3500 sq.m Area of the outer rectangle = (l + 2w) x (b + 2w) ⇒2w = 2 x 5 = 10m = (70 + 10) x (50 + 10) = 80 x 60 = 4800 sq.m. |
| 10) 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. |