Area and Perimeter
- 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
- 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 ratio of length and breadth of a rectangle is 5 : 3 .If length is 8 m more than breadth, find the area of the rectangle.
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Let length of rectangle = 5k
and breadth of rectangle = 3k
According to the quecation,
5k - 3k = 8
Required area = Lenght x BreadthCorrect Option: C
Let length of rectangle = 5k
and breadth of rectangle = 3k
According to the quecation,
5k - 3k = 8
⇒ 2k =8
∴ k = 4
∴ Lenght = 5k = 5 x 4 = 20 m
Breadth = 3k = 3 x 4 = 12 m
∴ Required area = Lenght x Breadth
= 20 x 12 = 240 sq m
- The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively.
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Let the third side be x.
According to the question,
x + 20 = 26Correct Option: A
Let the third side be x.
According to the question,
x + 20 = 26
⇒ x = 26 - 20 = 6 cm
∴ Each equal side = 20/2 = 10 cm
- Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. The smallest number of tiles needed is ?
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Number of tiles needed = (Area of square room) / (Area of tile)
Correct Option: C
Area of square room = (10)2 = 100 sq m
= 100 x (100)2 sq cm
= 100 x 100 x 100 sq cm
Now, area of tiles = (50)2 = 50 x 50 sq cm
∴ Number of tiles needed = (Area of square room) / (Area of tile)
= (100 x 100 x 100) / (50 x 50)
= 400
Hence, 400 tiles will be needed.