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 155 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 112 m long. The two vertices on either side of the diagonals are 15 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 162 m long. The two vertices on either side of the diagonals are 14 m , 33 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 196 m long. The two vertices on either side of the diagonals are 20 m , 35 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 147 m long. The two vertices on either side of the diagonals are 18 m , 34 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 164 m long. The two vertices on either side of the diagonals are 16 m , 33 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 150 m long. The two vertices on either side of the diagonals are 16 m , 37 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 139 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:_______________ |
| 9) A plot of land is in the form of a quadrilateral, where one of its diagonal is 154 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:_______________ |
| 10) 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 10 m , 34 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 155 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: 3410.0 m2 SOLUTION 1 : Given : d = 155 m h1 = 10 m h2= 34 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 155 x (10 + 34) = x 155 x 44 = 3410.0 m2 |
| 2) A plot of land is in the form of a quadrilateral, where one of its diagonal is 112 m long. The two vertices on either side of the diagonals are 15 m , 32 m away from the diagonals. What is the area of the plot of land Answer: 2632.0 m2 SOLUTION 1 : Given : d = 112 m h1 = 15 m h2= 32 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 112 x (15 + 32) = x 112 x 47 = 2632.0 m2 |
| 3) A plot of land is in the form of a quadrilateral, where one of its diagonal is 162 m long. The two vertices on either side of the diagonals are 14 m , 33 m away from the diagonals. What is the area of the plot of land Answer: 3807.0 m2 SOLUTION 1 : Given : d = 162 m h1 = 14 m h2= 33 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 162 x (14 + 33) = x 162 x 47 = 3807.0 m2 |
| 4) A plot of land is in the form of a quadrilateral, where one of its diagonal is 196 m long. The two vertices on either side of the diagonals are 20 m , 35 m away from the diagonals. What is the area of the plot of land Answer: 5390.0 m2 SOLUTION 1 : Given : d = 196 m h1 = 20 m h2= 35 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 196 x (20 + 35) = x 196 x 55 = 5390.0 m2 |
| 5) A plot of land is in the form of a quadrilateral, where one of its diagonal is 147 m long. The two vertices on either side of the diagonals are 18 m , 34 m away from the diagonals. What is the area of the plot of land Answer: 3822.0 m2 SOLUTION 1 : Given : d = 147 m h1 = 18 m h2= 34 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 147 x (18 + 34) = x 147 x 52 = 3822.0 m2 |
| 6) 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 16 m , 33 m away from the diagonals. What is the area of the plot of land Answer: 4018.0 m2 SOLUTION 1 : Given : d = 164 m h1 = 16 m h2= 33 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 164 x (16 + 33) = x 164 x 49 = 4018.0 m2 |
| 7) A plot of land is in the form of a quadrilateral, where one of its diagonal is 150 m long. The two vertices on either side of the diagonals are 16 m , 37 m away from the diagonals. What is the area of the plot of land Answer: 3975.0 m2 SOLUTION 1 : Given : d = 150 m h1 = 16 m h2= 37 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 150 x (16 + 37) = x 150 x 53 = 3975.0 m2 |
| 8) A plot of land is in the form of a quadrilateral, where one of its diagonal is 139 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: 2988.5 m2 SOLUTION 1 : Given : d = 139 m h1 = 12 m h2= 31 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 139 x (12 + 31) = x 139 x 43 = 2988.5 m2 |
| 9) A plot of land is in the form of a quadrilateral, where one of its diagonal is 154 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: 3311.0 m2 SOLUTION 1 : Given : d = 154 m h1 = 12 m h2= 31 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 154 x (12 + 31) = x 154 x 43 = 3311.0 m2 |
| 10) 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 10 m , 34 m away from the diagonals. What is the area of the plot of land Answer: 2442.0 m2 SOLUTION 1 : Given : d = 111 m h1 = 10 m h2= 34 m Area of the quadrilateral = x d x (h1 + h2) sq. units = x 111 x (10 + 34) = x 111 x 44 = 2442.0 m2 |