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Area Problems

Area Problems
The radius of a circular field is 25 m. Find the area of the field.

625 ? sq m
25 ? sq m
125 ? sq m
135 ? sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = ?r2 = ? x 25 x 25 = 625? sq m.

Area Problems
The area of a rectangle, 144 m long is the same as that of a square having a side 84 m long. The width of the rectangle is?

7 m
14 m
Cannot be determined
49 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the square = (84 + 84) m2Area of the rectangle = (144 x width) m2From question both area would be same,? Width = (84 x 84) / 144 m = 49 m

Area Problems
The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle

44
84
33
22

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is?

? 3: 2
4 : 3
9 : 16
3 : 4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of similar triangle = Ratio of the square of corresponding sides = (3x)2 / (4x)2 = 9x2 / 16x2 = 9/16 = 9 : 16

Area Problems
The perimeter of a rectangle having area equal to 144 cm 2 and sides in the ratio 4 : 9 is

60 cm
56 cm
64 cm
52 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let l = 4k and b = 9kArea of rectangle = l x b144 = 4k x 9k ? k2 = 144/36 ? k2 = 4? k = 2? l = 8 cm and b = 18 cmPerimeter of rectangle = 2(l + b)= 2(8 + 18)= 2 x 26= 52 cm

Area Problems
If the sides of a squares is increased by 25%, then the area of the squares will be increased by

53.75%
56.25%
50%
125%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required increment = 2a + [a2 / 100] %= 2 x 25 + [(252)/100)] %= 50 + (625/100)% = 56.25%

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