Area Questions Answers Online Quiz Test

• 1. One side of rectangular field is 15 meter and one of its diagonals is 17 meter. Then find the area of the field.

  1. \begin{aligned} 120m^2 \end{aligned}
  2. \begin{aligned} 130m^2 \end{aligned}
  3. \begin{aligned} 140m^2 \end{aligned}
  4. \begin{aligned} 150m^2 \end{aligned}

• 2. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

  1. \begin{aligned} 152600 m^2\end{aligned}
  2. \begin{aligned} 153500 m^2\end{aligned}
  3. \begin{aligned} 153600 m^2\end{aligned}
  4. \begin{aligned} 153800 m^2\end{aligned}

• 3. The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:

  1. 32%
  2. 34%
  3. 42%
  4. 44%

• 4. The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?

  1. 18 meter
  2. 20 meter
  3. 22 meter
  4. 25 meter

• 5. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required ?

  1. 88 feet
  2. 86 feet
  3. 84 feet
  4. 82 feet

• 6. The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .

  1. 22 cm
  2. 24 cm
  3. 26 cm
  4. 28 cm

• 7. The Diagonals of two squares are in the ratio of 2:5. find the ratio of their areas.

  1. 4:25
  2. 4:15
  3. 3:25
  4. 3:15

• 8. A farmer wishes to start a 100 sq. m. rectangular vegetable garden. Since he has only 30 meter barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. Then find the dimension of the garden.

  1. 10 m * 5 m
  2. 15 m * 5 m
  3. 20 m * 5 m
  4. 25 m * 5 m

• 9. A courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is :

  1. 16000
  2. 18000
  3. 20000
  4. 22000

• 10. The length of a rectangle is three times of its width. If the length of the diagonal is \begin{aligned}8\sqrt{10}\end{aligned}, then find the perimeter of the rectangle.

  1. 60 cm
  2. 62 cm
  3. 64 cm
  4. 66 cm

• 11. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is ?

  1. 25%
  2. 26%
  3. 27%
  4. 28%

• 12. What will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of Rs. 10 per square meter ?

  1. Rs. 3430
  2. Rs. 3440
  3. Rs. 3450
  4. Rs. 3460

• 13. The perimeters of 5 squares are 24 cm, 32 cm, 40 cm, 76 cm and 80 cm respectively. The perimeter of another square equal in area to the sum of the area of these square is:

  1. 124 cm
  2. 120 cm
  3. 64 cm
  4. 56 cm

• 14. 50 square stone slabs of equal size were needed to cover a floor area of 72 sq.m. Find the length of each stone slab.

  1. 110 cm
  2. 116 cm
  3. 118 cm
  4. 120 cm

• 15. What are the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?

  1. 714
  2. 814
  3. 850
  4. 866

• 16. The area of a square is 69696 cm square. What will be its diagonal ?

  1. 373.196 cm
  2. 373.110 cm
  3. 373.290 cm
  4. 373.296 cm

• 17. If the ratio of the areas of two squares is 225:256, then the ratio of their perimeters is :

  1. 15:12
  2. 15:14
  3. 15:16
  4. 15:22

• 18. The difference of the areas of two squares drawn on two line segments in 32 sq. cm. Find the length of the greater line segment if one is longer than the other by 2 cm.

  1. 9 cm
  2. 8 cm
  3. 7 cm
  4. 6 cm

• 19. The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :

  1. 22 cm
  2. 20 cm
  3. 18 cm
  4. 10 cm

• 20. The sides of a triangle are in the ratio of \begin{aligned}\frac{1}{2}:\frac{1}{3}:\frac{1}{4}\end{aligned}. If the perimeter is 52 cm, then find the length of the smallest side.

  1. 12 cm
  2. 14 cm
  3. 16 cm
  4. 18 cm