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Area Problems

Area Problems
The area of an equilateral triangle is ? 243 /4 sq cm. Find the length of its side.

9 cm
?3 cm
3 cm
3?3 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question,area = ?3a2/4 = ?243 /4? a2 = ?81 x 3/?3 ? a = ?9 = 3 cm

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

25 ? sq m
625 ? 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
A circular road runs rounds a circular ground. If the difference between the circumference of the outer circle and the inner circle is 66 meters, the width of the road is?

21 meters
10.5 meters
5.25 meters
7 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let outer radius be R and inner radius be r.Then from question 2?R - 2?r = 66? 2? (R-r) = 66? (2 x 22)/7 x (R - r) = 66? (R-r) = (66 x 7) / 44= 10.5 m

Area Problems
The cost of cultivating a square field at the rate of Rs. 160 per hectare is Rs. 1440. the cost of putting a fence around it at 75 paisa per meter is?

Rs. 1800
Rs. 360
Rs. 900
Rs. 810

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = 1440 / 160 hectares = 9 hectares = 90000 m2? One side = ?90000 m = 300 mSo perimeter = 4 x 300 m = 1200 m ? Cost of fencing = Rs (1200 x 75) / 100= Rs. 900

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

1/2 cm
? 3/4
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
The ratio of the area of a square to that of the square drawn on its diagonal is

3:1
4:1
1:2
2;3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

atio =  a 2 2 a 2

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