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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 cm
4/?3 cm
?3/4 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
A railing of 288 m is required for fencing a semi-circular park. Find the area of the park. (? = 22/7)

8956 m2
9865 m2
9856 m2
4928 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the radius of the park be r, then?r + 2r = 288(? + 2)r = 288? [(22/7) + 2]r = 288? r = (288 x 7)/36 = 56 ? Area of the park = (1/2)?r2= (1/2) x (22/7) x 56 x 56= 4928

Area Problems
The area of a right angled triangle is 10 sq cm. If its perpendicular is equal to 20 cm, find its base.

4 cm
1 cm
2 cm
3 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
One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is?

4?5 m2
20 m 2
12 m2
15 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Other side = ?5 2 - 42 = ? 9=3 mSo The area of the rectangular field = 4 x 3 = 12 m2

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

1700
1000
2000
1500

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 area of an equilateral triangle whose side is 8 cms is?

16?3 cm2
4?3 cm2
21.3 cm2
64 cm2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Req. Area = ?3/4 x a2 = ?3/4 x 82 cm2= 16?3 cm2

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