Area and Perimeter
- The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas.
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Let the diagonals of the squares be 3x and 2x.
∴ Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)]Correct Option: A
Let the diagonals of the squares be 3x and 2x.
∴ Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)] = 9/4
- 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
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Area of the field =1215/135 = 9 hec
= 90000 m2 [1 hec =10000 m2]
∴ Side of the field = √90000 = 300 mCorrect Option: C
Area of the field =1215/135 = 9 hec
= 90000 m2 [1 hec =10000 m2]
∴ Side of the field = √90000 = 300 m
Perimeter of the field = 4 x 300 = 1200 m
Now, cost of putting a fence around field = (1200 x 75)/100 = ₹ 900
- The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller?
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Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2
Correct Option: C
Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2
= (24/12)2
= 4
- If the sides of a squares is increased by 25%, then the area of the squares will be increased by
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Required increment = 2a + [a2 / 100] %
Correct Option: C
Required increment = 2a + [a2 / 100] %
= 2 x 25 + [(252)/100)] %
= 50 + (625/100)%
= 56.25%
- Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is
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Area of rhombus =(d1 x d2)/2
Correct Option: A
Area of rhombus =(d1 x d2)/2
=(1 x 1.5)/2 m2
= 0.75 m2