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Area Problems

Area Problems
Square units 13 by 9 of an office area is

97
127
117
107

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Square units 13 by 9 of an office means office of length 13 units and breadth 9 units. Now its area is 13x 9 = 117 square units or units square.

Area Problems
A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6: 5 . The smaller side of the rectangle is?

72 cm
132 cm
30 cm
60 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Perimeter of rectangle = Circumference of circle = 2?r=2 x ( 22/7 ) x 42= 264 cm Now perimeter of rectangle = 2 x ( 6a + 5a )? 2 x (6a + 5a) = 264? a = 12Smaller side of rectangle = 5a = 60 cm

Area Problems
The ratios of areas of two squares, one having its diagonal double than the other is

3:1
2:3
2:1
4:1

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be

4444
8844
5544
7744

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

length of wire = 2 ?r = 2 x (22/7 ) x 56 = 352 cmside of the square = 352/4 = 88cmarea of the square = 88 x 88 = 7744sq cm

Area Problems
Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.

84
44
64
22

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let a = 13, b = 14 and c = 15. Then,  s = 1 2 a + b + c =21  (s- a) = 8, (s - b) = 7 and (s - c) = 6. Area = s s - a s - b s - c  = 21 × 8 × 7 × 6  = 84 sq.cm

Area Problems
The diagonals of a squares is 4?2 cm. The diagonal of another square whose area is double that of the first square is

4?2 cm
8?2 cm
6 cm
8 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Diagonal of square = ?2a [a = side]4?2 = ?2 a a = 4 cmNow, area of square = a2 = (42) = 16Side of a square whose area is 2 x 16.a12 = 32 ? a1 = ?32 ?a14?2Now, diagonal of new square = ?2a = ?2x 4 ?2 = 8 cm

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