1.  The ratio between the length and the perimeter of a rectangular plot is 1:3 what is the ratio between the length and breadth of the plot?


1:2
2:1
3:2
Data inadequate


Answer

 Option

L/2(l+b) = 1/3=> 3l = 2l +2b => l/b = 2/1 = 2:1

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2.  A rectangular carpet has an area of 120 sq. meters and a perimeter of 46 meters. The length of its diagonal is?


15 m
16 m
17 m
20 m


Answer

 Option

2 (l+b) = 46 or l+b = 23,Also lb = 120 Therefore diagonal = root of l^2 + b^2 = root of (l+b)^2 - 2lb = root of (23)^2 - 240 = root of 289 = 17 m

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3.  The ratio between the perimeter and the breadth of a rectangle is 5:1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?


16 cm
24 cm
18 cm
None of these


Answer

 Option

2 (l+b)/b = 5/1 => 2l + 2b = 5b => 3b =2l => b = 2/3l Then, area = 216 cm^2 => l * b = 216 => l * 2/3l = 216 => l^2 = 324 => l = 18 cm

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4.  A rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it, one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 75 paise per sq. meter is?


Rs. 254.50
Rs.258
Rs.262.50
Rs. 270


Answer

 Option

Area of crossroads = (55 * 4 + 35 * 4 - 4) m^2 = 344 m^2. Therefore cost of gravelling = Rs. (344 * 75/100) = Rs. 258.

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5.  What will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle?


1:2
2:1
3:1
Data inadequate


Answer

 Option

Area of rectangle = lb sq. units. Area of the triangle = 1/2 lb sq. units . Therefore required ratio = lb : 1/2 lb = 2:1.

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