Area

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151 The area of a rectangle is 120 sq cm and it's perimeter 140 cm. What is the length of it's diagonal?

A
50 cm
B
30 cm
C
40 cm
D
60 cm

152 If in-radius of an equilateral triangle is 3 cm. Calculate the perimeter (in m) of the equilateral triangle:

A
6√3
B
3√3
C
12√3
D
18√3

153 In a triangle, one of the angles is three times the smallest and another is two times the smallest angle. Calculate the smallest angle:

A
60°
B
30°  
C
90°
D
45°

154 Find the area of the sector which makes 90 degree at the center for the circle with radius 14 cm 

A
134
B
144
C
154
D
164

155 The parallel sides of a trapezium are 20 cm and 10 cm. it's nonparallel sides are both equal, each being 13 cm. Find the area of the trapezium:

A
180
B
170
C
160
D
150

156 If the ratio of areas of two circles are 16 : 25, then the ratio of the radii of the circle will be 

A
(4 : 5)
B
(4 : 7)
C
(3 : 5)
D
(3 : 7)

157 Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 unit's and DP = 3 unit's. What is the area of the circle?

A
125π/4 sq cms
B
100π/7 sq cms
C
125π/8 sq cms
D
52π/3 sq cms

158 Find the area of trapezium whose length of the parallel sides are 12 and 28 cm. If the distance between the parallel sides are given by 25 cm, then the area of the trapezium is 

A
450
B
400
C
500
D
600

159 From a rectangle ABCD of area 768 sq cm, a semicircular part with diameter AB and area 72π sq cm is removed. The perimeter of the leftover portion, in cm, is:

A
88 + 12π
B
80 + 16π
C
86 + 8π
D
82 + 24π

160 ABCD is a square drawn inside a square PQRS of sides 4 cm by joining midpoints of the sides PQ, QR, RS, SP. Another square is drawn inside ABCD similarly. This process is repeated infinite number of times. Find the sum of all the squares:

A
16 cm2
B
28 cm2
C
32 cm2
D
Infinite