1. A parallelogram has sides 13 cm and 5 cm long. The length of one of its diagonals is 14 cm. The area of the parallelogram is:
a) 48 cm²
b) 52 cm²
c) 56 cm²
d) 60 cm²

2. The sides of a parallelogram are in the ratio 7 : 5. Its area is 1400 square units. If the altitude on the greater side is 20 units, then the altitude on the smaller side is:
a) 20 units
b) 25 units
c) 28 units
d) 35 units

3. If the sum of the length, breadth and height of a rectangular parallelepiped is 30 cm and the length of its diagonal is 19 cm, then its total surface area is:
a) 640 cm²
b) 672 cm²
c) 684 cm²
d) 720 cm²

4. Two sides of a parallelogram are 18 cm and 24 cm. If the altitude corresponding to the side of length 24 cm is 12 cm, then the altitude corresponding to the other side is:
a) 12 cm
b) 14 cm
c) 16 cm
d) 18 cm

5. The area of a parallelogram whose length is 24 cm, width is 10 cm, and one diagonal is 26 cm is:
a) 96 cm²
b) 120 cm²
c) 144 cm²
d) 156 cm²

6. Two adjacent sides of a parallelogram are 15 cm and 20 cm. The diagonal joining the end points of these two sides is 25 cm. The area of the parallelogram (in cm²) is:
a) 240
b) 260
c) 300
d) 320

7. The sum of the length, breadth and height of a rectangular box is 22 cm and the length of its space diagonal is 10 cm. Find the total surface area of the box.
a) 364 cm²
b) 374 cm²
c) 384 cm²
d) 394 cm²

8. Two sides of a parallelogram shaped plot are 20 m and 30 m. If the altitude corresponding to the 20 m side is 18 m, find the altitude corresponding to the 30 m side.
a) 10 m
b) 11 m
c) 12 m
d) 13 m

9. Two adjacent sides of a parallelogram are 12 cm and 16 cm. One of its diagonals is 20 cm. Find the area of the parallelogram.
a) 168 cm²
b) 180 cm²
c) 192 cm²
d) 204 cm²

10. Two adjacent sides of a parallelogram are 7 cm and 24 cm. The diagonal joining their endpoints is 25 cm. Find the area of the parallelogram.
a) 148 cm²
b) 158 cm²
c) 168 cm²
d) 178 cm²

Answers