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 plot of land is in the form of a quadrilateral, where one of its diagonal is 165 m long. The two vertices on either side of the diagonals are 10 m , 34 m away from the diagonals. What is the area of the plot of land m2 Answer:_______________ |
| 2) A plot of land is in the form of a quadrilateral, where one of its diagonal is 164 m long. The two vertices on either side of the diagonals are 10 m , 32 m away from the diagonals. What is the area of the plot of land m2 Answer:_______________ |
| 3) A plot of land is in the form of a quadrilateral, where one of its diagonal is 109 m long. The two vertices on either side of the diagonals are 14 m , 32 m away from the diagonals. What is the area of the plot of land m2 Answer:_______________ |
| 4) A plot of land is in the form of a quadrilateral, where one of its diagonal is 163 m long. The two vertices on either side of the diagonals are 15 m , 30 m away from the diagonals. What is the area of the plot of land m2 Answer:_______________ |
| 5) A plot of land is in the form of a quadrilateral, where one of its diagonal is 114 m long. The two vertices on either side of the diagonals are 10 m , 32 m away from the diagonals. What is the area of the plot of land m2 Answer:_______________ |
| 6) A plot of land is in the form of a quadrilateral, where one of its diagonal is 111 m long. The two vertices on either side of the diagonals are 11 m , 36 m away from the diagonals. What is the area of the plot of land m2 Answer:_______________ |
| 7) A plot of land is in the form of a quadrilateral, where one of its diagonal is 141 m long. The two vertices on either side of the diagonals are 20 m , 33 m away from the diagonals. What is the area of the plot of land m2 Answer:_______________ |
| 8) A plot of land is in the form of a quadrilateral, where one of its diagonal is 145 m long. The two vertices on either side of the diagonals are 10 m , 30 m away from the diagonals. What is the area of the plot of land m2 Answer:_______________ |
| 9) A plot of land is in the form of a quadrilateral, where one of its diagonal is 153 m long. The two vertices on either side of the diagonals are 16 m , 39 m away from the diagonals. What is the area of the plot of land m2 Answer:_______________ |
| 10) A plot of land is in the form of a quadrilateral, where one of its diagonal is 198 m long. The two vertices on either side of the diagonals are 12 m , 31 m away from the diagonals. What is the area of the plot of land m2 Answer:_______________ |
| 1) A plot of land is in the form of a quadrilateral, where one of its diagonal is 165 m long. The two vertices on either side of the diagonals are 10 m , 34 m away from the diagonals. What is the area of the plot of land Answer: 3630.0 m2 SOLUTION 1 : Given : d = 165 m h1 = 10 m h2= 34 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 165 x (10 + 34) = x 165 x 44 = 3630.0 m2 |
| 2) A plot of land is in the form of a quadrilateral, where one of its diagonal is 164 m long. The two vertices on either side of the diagonals are 10 m , 32 m away from the diagonals. What is the area of the plot of land Answer: 3444.0 m2 SOLUTION 1 : Given : d = 164 m h1 = 10 m h2= 32 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 164 x (10 + 32) = x 164 x 42 = 3444.0 m2 |
| 3) A plot of land is in the form of a quadrilateral, where one of its diagonal is 109 m long. The two vertices on either side of the diagonals are 14 m , 32 m away from the diagonals. What is the area of the plot of land Answer: 2507.0 m2 SOLUTION 1 : Given : d = 109 m h1 = 14 m h2= 32 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 109 x (14 + 32) = x 109 x 46 = 2507.0 m2 |
| 4) A plot of land is in the form of a quadrilateral, where one of its diagonal is 163 m long. The two vertices on either side of the diagonals are 15 m , 30 m away from the diagonals. What is the area of the plot of land Answer: 3667.5 m2 SOLUTION 1 : Given : d = 163 m h1 = 15 m h2= 30 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 163 x (15 + 30) = x 163 x 45 = 3667.5 m2 |
| 5) A plot of land is in the form of a quadrilateral, where one of its diagonal is 114 m long. The two vertices on either side of the diagonals are 10 m , 32 m away from the diagonals. What is the area of the plot of land Answer: 2394.0 m2 SOLUTION 1 : Given : d = 114 m h1 = 10 m h2= 32 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 114 x (10 + 32) = x 114 x 42 = 2394.0 m2 |
| 6) A plot of land is in the form of a quadrilateral, where one of its diagonal is 111 m long. The two vertices on either side of the diagonals are 11 m , 36 m away from the diagonals. What is the area of the plot of land Answer: 2608.5 m2 SOLUTION 1 : Given : d = 111 m h1 = 11 m h2= 36 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 111 x (11 + 36) = x 111 x 47 = 2608.5 m2 |
| 7) A plot of land is in the form of a quadrilateral, where one of its diagonal is 141 m long. The two vertices on either side of the diagonals are 20 m , 33 m away from the diagonals. What is the area of the plot of land Answer: 3736.5 m2 SOLUTION 1 : Given : d = 141 m h1 = 20 m h2= 33 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 141 x (20 + 33) = x 141 x 53 = 3736.5 m2 |
| 8) A plot of land is in the form of a quadrilateral, where one of its diagonal is 145 m long. The two vertices on either side of the diagonals are 10 m , 30 m away from the diagonals. What is the area of the plot of land Answer: 2900.0 m2 SOLUTION 1 : Given : d = 145 m h1 = 10 m h2= 30 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 145 x (10 + 30) = x 145 x 40 = 2900.0 m2 |
| 9) A plot of land is in the form of a quadrilateral, where one of its diagonal is 153 m long. The two vertices on either side of the diagonals are 16 m , 39 m away from the diagonals. What is the area of the plot of land Answer: 4207.5 m2 SOLUTION 1 : Given : d = 153 m h1 = 16 m h2= 39 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 153 x (16 + 39) = x 153 x 55 = 4207.5 m2 |
| 10) A plot of land is in the form of a quadrilateral, where one of its diagonal is 198 m long. The two vertices on either side of the diagonals are 12 m , 31 m away from the diagonals. What is the area of the plot of land Answer: 4257.0 m2 SOLUTION 1 : Given : d = 198 m h1 = 12 m h2= 31 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 198 x (12 + 31) = x 198 x 43 = 4257.0 m2 |