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Area Problems

Area Problems
Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is

0.75 m2
0.375 m2
1.5 m2
1.5 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of rhombus =(d1 x d2)/2 =(1 x 1.5)/2 m2= 0.75 m2

Area Problems
The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii?

44 meter
8 meter
5 meter
7 meter

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 2?R - 2?r = (176-132)? 2?(R-r) = 44? R-r = ( 44 x 7 )/ (2 x 22)= 7 m

Area Problems
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

2420 m2
2480 m2
1520 m2
2520 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103. Solving the two equations, we get: l = 63 and b = 40. ∴ Area = (l x b) = (63 x 40) m2 = 2520 m2

Area Problems
A man runs round a circular field of radius 50m at the speed of 12 km/hr. What is the time taken by the man to take twenty rounds of the field?

90/7 min
110/7 min
220/7 min
230/7 min

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

speed = 12 km/h =  12 × 5 18 = 10 3 m / s     distance covered =  20 × 2 × 22 7 × 50 = 44000 7 m     time taken  = distance /speed =   44000 7 × 3 10 s e c = 4400 × 3 7 × 1 60 m i n = 220 7 m i n

Area Problems
The Area of a square is 50 sq. units. Then the area of the circle drawn on its diagonal is?

None of theas
25? sq. units
50? sq. units
100? sq. units

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = (Diagonal)2 / 2 = 50? Diagonal = 10 units ? Radius of required circle = 5 unitsIts area = [? x (5)2 ] cm2= 25? units2

Area Problems
A hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. the cost of flooring the verandah at the rate of 3.50 per sq. meter is?

Rs. 800
Rs. 500
Rs. 700
Rs. 600

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of verandah = [(25 x 20) -(20 x 15)] m2= 200 m2? Cost of flooring = Rs. (200 x 3.50)= Rs. 700

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