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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

1.5 m2
1.5 m2
0.75 m2
0.375 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals.

15%
20%
18%
10%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,? Percentage increase in sides = 10%? Percentage increase diagonals = 10%

Area Problems
A cost of cultivating a square field at a rate of ? 135 per hectare is ? 1215. The cost of putting a fence around it at the rate of 75 paise per meter wouldbe

? 810
? 900
? 360
? 1800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the field =1215/135 = 9 hec= 90000 m2 [1 hec =10000 m2]? Side of the field = ?90000 = 300 mPerimeter of the field = 4 x 300 = 1200 mNow, cost of putting a fence around field = (1200 x 75)/100 = ? 900

Area Problems
A park of 10 meters long and 8 meters broad. What is the length of the longest pole that can be placed in the park?

10 metres
12.8 metres
13.4 metres
18 metres

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of the longest pole = ? [(10)2 + (8)2] m = ? 164 m = 12.8 m

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

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

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
The inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is?

56 m
70 m
84 m
77 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Circumference of a circular = 2?r? 2 x (22 / 7) x r = 440? r = [440 x (7/22) x (1/2)] = 70 m? Radius of outer circle = (70 + 14) m = 84 m

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