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Area Problems

Area Problems
The length of each side of an equilateral triangle having an area of 4?3 cm 2 is?

4 cm
?3/4 cm
3 cm
4/?3 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm

Area Problems
If the diameters of a circle is increased by 100% . Its area is increased by?

400%
200%
300%
100%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Original area = ?(d/2)2= (?d2) / 4New area = ?(2d/2)2= ?d2Increase in area = (?d2 - ?d2/4)= 3?d2/4? Required increase percent = [(3?d2)/4 x 4/(?d2) x 100]%= 300%

Area Problems
The area of circle is 38.5 sq. cm. Its circumference is?

11 cm
22 cm
6.20 cm
121 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? ( 22 x r2) / 7 = 38.5? r2 =(38.5 x 7) /22? r = 3.5 cm? Circumference = 2 x (22/7) x 3.5 cm= 22 cm

Area Problems
The diameter of a wheel is 63 cms. Distance travelled by the wheel in 100 revolutions is?

99 meters
136 meters
63 meters
198 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance travelled in 1 revolution = circumference of the wheel = ?d= ( 22/7 ) x 63= 198 cmSo the distance travelled in 100 revolutions = 100 x distance travelled in 1 revolution = 100 x 198 cm= 19800 cm = 198 m

Area Problems
Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is?

x/2
4x
2x
x

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let h be the altitude of triangle.So area of triangle = (1/2)xh area of square = x2From question area of square = area of triangle x2 = (1/2)xh ? h = (2x2)/x = 2x

Area Problems
The area of a rectangular field is 15 time the sum of its length and breadth. If the length of that field is 40 m, what is the breadth of that field?

32 m
28 m
24 m
25 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length ot rectangle = 40 mLet breadth of = kThen, according of the question, (40 + k)15 = 40k ? 600 + 15k = 40k ? 25k = 600? k = 24 m

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