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Area Problems

Area Problems
The ratio of the area of square of side a and equilateral triangle of side a is?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3

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?

4 cm
7 cm
6 cm
5 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 perimeter of a rectangle having area equal to 144 cm 2 and sides in the ratio 4 : 9 is

52 cm
64 cm
56 cm
60 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
The area of a right angled triangle is 10 sq cm. If its perpendicular is equal to 20 cm, find its base.

2 cm
3 cm
1 cm
4 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, area = 10 sq cm, perpendicular = 20 cm and base = ? area = (base x Perpendicular) / 2 ? 10 = (base x 20) / 2 ? base = 1 cm

Area Problems
The breadth of a rectangle is 25 m. The total cost of putting a grass bed on this field was ? 12375, at the rate of ? 15 per sq m. What is the length of the rectangular field?

27 m
32 m
30 m
33 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area to the rectangular field = 12375/15 = 825 sq mAccording to the question, (L x B) = 825 [L = length and B = breadth]? L x 25 = 825 ? L = 825/25 = 33 m

Area Problems
Area of a four wall of a room is 77 square meters . the length and breadth of room are 7.5 meters and 3.5 meters respectively . the height of the room is?

3.5 meters
7.7 meters
5.4 meters
6.77 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of four walls = 2 x (l + b ) x h? 2 x (7.5 + 3.5 ) x h = 77 m2? h = 77 / (2 x 11) = 7/2? h = 3.5 meters

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