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Area Problems

Area Problems
The altitude of an equilateral triangle of side 2 ? 3 cm is?

? 3/4
1/2 cm
3 cm
? 3/2 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 1/2 x 2 ? x h = ?3/4 x (2 ?3)2? h = 3 cm.

Area Problems
In a triangle ABC, BC = 5 cm AC = 12 cm and AB = 13 cm. The length of a altitude drawn from B on AC is?

5 cm
4 cm
6 cm
7 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? s= (13 + 5 + 12) / 2 cm = 15cms-a = 2 cm, s-b = 10 cm and s-c = 3 cm ? Area = ? (15 x 2 x 10 x 3 ) cm2= 30 cm2? (12 x h) / 2 = 30 ? h = 5 cm

Area Problems
The radius of a circle has been reduced from 9 cm to 7 cm . the appropriate percentage decrease in area is?

65.5 %
34.5 %
31.5 %
39.5 %

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Original area = (22/7) x 9 x 9 cm2New area = (22/7) x 7 x 7 cm2? Decrease = 22/7 x [(9)2 -(7)2] cm2=(22/7) x 16 x 2 cm2Decrease percent = [(22/7 x 16 x 2) /( 7/22 x 9 x 9)] x 100 %= 39.5 %

Area Problems
The Number of rounds that a wheel of diameter 7/11 m will make in going 4 km, is?

1700
1500
1000
2000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of round = total distance / circumference of wheel.= (4 x 1000) / ?d= (4 x 1000) / ( 22/7 x 7/11) = 2000

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
A rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is?

(100/ ? 3 ) meters
100 meters
33 meters
66.66 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = b meters. then, length = 3b/2 meters ? b x 3b/2 = 2/3 X 10000? b2 = (4 x 10000)/9? b = ( 2 X 100)/3 m ? Length = (3/2) x (2/3) x 100 m= 100 m

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