Area

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51 The ratio between the length and the breadth of a rectangle is 2 : 1. If breadth is 5 cm less than the length, what will be the perimeter of the rectangle?

A
30 cm
B
25 cm
C
35 cm
D
40 cm

52 An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is

A
2%
B
2.02%
C
4%
D
4.04%

53 If the length and breadth of a rectangular room are each increased by 1 m, then the area of floor is increased by 21 m°. If the length is increased by 1 m and breadth is decreased by 1 m, then the area is decreased by 5 m°. The perimeter of the floor is

A
30 m
B
40 m
C
44 m
D
34 m

54 Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is

A
22 cm/sec
B
44 cm/sec
C
66 cm/sec
D
132 cm/sec

55 The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively:

A
6 cm and 10 cm
B
8 cm and 9 cm
C
10 cm and 8 cm
D
14 cm and 6 cm

56 A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is

A
10d m
B
100 m
C
100d m
D
200 m

57 A 2-metre broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is 96 m×. The rate of construction is ₹ 50/m×. Find the total cost of construction:

A
₹ 2400
B
₹ 4000
C
₹ 4800
D
Data inadequate

58 If the length and breadth of a rectangular plot be increased by 50% and 20% respectively, then how many times will it's area be increased?

A
3/5times
B
4/5times
C
1/5times
D
7/5times

59 The area of a rectangle lies between 40 cm and 45 cm . If one of the sides is 5 cm, then it's diagonal lies between

A
8 cm and 10 cm
B
9 cm and 11 cm
C
10 cm and 12 cm
D
11 cm and 13 cm

60 The length of a rectangle is twice it's breadth. If the length is decreased by half of the 10 cm and the breadth is increased by half of the 10 cm, the area of the rectangle is increased by 5 sq cm more than 70 sq cm. Find the length of the rectangle:

A
30 cm
B
40 cm
C
21 cm
D
45 cm