AREA AND PERIMETER (CDS)

Total Questions: 116

41. In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book shelves of size 4m × 1m × 9m are also placed in the room. If half of the rest of the area in the room is to be carpeted at the rate of ₹100 per square metre, what is the cost of carpeting (approximately)? [2018 (I) Morning Shift]

Correct Answer: (c) ₹4,113
Solution:Area of the rest of the room

42. If the length of a side of a square is increased by 8 cm, its area increases by 120 square cm. What is the length of a side of the square? [2018 (I) Morning Shift]

Correct Answer: (b) 3.5 cm
Solution:Let the side of square be x cm

43. Walls (excluding their roofs and floors) of 5 identical rooms having length, breadth and height 6 m, 4 m and 2.5 m respectively are to be painted. Paints are available only in cans of 1 L and one litre of paint can be used for painting 20 square metres. What is the number of cans required for painting? [2018 (I) Morning Shift]

Correct Answer: (c) 13
Solution:Length, breadth and height of room are 6m, 4m and 2.5m respectively.

44. A rectangular pathway having width 4.5 m and length 10 m will have to be tiled using square tiles of side 50 cm. Each packet of such tiles contains 20 pieces and cost ₹100. What will be the total cost of tiles for the pathway. [2018 (I) Morning Shift]

Correct Answer: (d) ₹900
Solution:

45. A wire is in the form of a circle of radius 98 cm. A square is formed out of the wire. What is the length of a side of the square? (Use π = ²²⁄₇) [2018 (I) Morning Shift]

Correct Answer: (c) 154 cm
Solution:Radius of circle = 98 cm

46. What is the area of the largest circular disc cut from a square of side 2/√π units? [2018 (I) Morning Shift]

Correct Answer: (b) 1 square units
Solution:

47. The product of the lengths of the diagonals of a square is 50 square units. What is the length of a side of the square? [2018 (I) Morning Shift]

Correct Answer: (b) 5 units
Solution:Let the side of square be ‘a’ unit

48. A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 6√2 cm, then what is the area of the triangle? [2018 (I) Morning Shift]

Correct Answer: (d) 16√3 cm²
Solution:


49. What is the area of the region bounded internally by a square of side of length ‘a’ and internally by a circle passing through the four corners of the square? [2018 (I) Morning Shift]

Correct Answer: (d)
Solution:


50. In the equilateral triangle ABC given below, AD = DB and AE EC = , if l is the length of a side of the triangle, then what is the area of the shaded region? [2018 (I) Morning Shift]

Correct Answer: (a)
Solution: