The length, breadth and height of a room are in the ratio 3:2:1. If the breadth and height are halved, while the length is doubled. Then the total area of the 4 walls of the room will be decreased by
From the given options we can see that area marked with 4 is the answer.
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A rectangular park, 70m * 30m has two roads which are 5m wide one parallel to its length and the other to its breadth. How much will it costs to gravel the roads at rs 4 per sq.m?
Area of road parallel to the length= 70*5=350 sq.m.
Area of road parallel to the breadth=30*5=150 sq.m.
Total area of road=350+150=500 sq.m.
As these two road contains common area of 5*5=25 sq.m,
so subtract once this common area, so actual area of road = 500-25 = 475
Cost to gravel @ 4 Rs./sq.m.= 475*4 = 1900 Rs.
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An isosceles triangle whose side are 13cm, 13cm, 10cm, is inscribed in a circle. Find the radius of circle
Draw two circles asper the given data(form a triangle with sides 10,8,6)
s = (10+8+6)/2 = 12
Area = ?{12(12-10)(12-8)(12-6)} = 24
Let the height of the triangle(which is half of the chord)=h
1/2 *10*h=24
=> h=4.8
Hence length of the chord=2*4.8=9.6
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A rectangular carpet has an area of 60 sq.m. If its diagonal and longer side together equal 5 times the shorter side, the length of the carpet is:
Let, length= x meters and breadth= y meters
Then xy=60 and (x^2+y^2) + x= 5
Therefore, x=60 and (x^2 + y^2) = (5y-x)^2. Or xy=60 and 24y^2-10xy = 0.
Therefore, 24y^2 - 10 * 60 = 0 or
=> y^2 = 25
=> y = 5.
Therefore, x= (60/5)m= 12m.
So, length of the carpet = 12m
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A rectangular park, 70m * 30m has two roads which are 5m wide one parallel to its length and the other to its breadth. How much will it costs to gravel the roads at Rs. 4 per sq.m?
Area of road parallel to the length = 70*5 = 350 sq.m.
Area of road parallel to the breadth = 30*5 = 150 sq.m.
Total area of road = 350+150 = 500 sq.m.
As these two road contains common area of 5*5 = 25 sq.m.,
so subtract once this common area, so actual area of road = 500-25 = 475
Cost to gravel @ 4 Rs./sq.m.= 475*4 = 1900 Rs.
Workspace
NA
SHSTTON
0
Solv. Corr.
4
Solv. In. Corr.
4
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12 points lie on a circle. How many cyclic quadrilaterals can be drawn by using these points?
Out of the 12 points lying on the circle, only 4 points can be chosen at a time to form a cyclic quadrilateral
Hence 12C4 =495 ways number of cyclic quadrilaterals are possible.
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Four concentric circles are given .The radius of 1st circle is x.next is 2x,then 3x and 4x. Given that area between 2nd and 1st is A and 4th and 3rd circles being B. Find ratio of A to B
Area of first circle = pi*(x)^2 = pi*x^2
Area of second circle = pi*(2x)^2 = 4*pi*x^2
Area of third circle = pi*(3x)^2 = 9*pi*x^2
Area of fourth circle = pi*(4x)^2 = 16*pi*x^2
Area b/w 1st and 2nd circles = 3*pi*x^2
Area b/w 3rd and 4th circles = 7*pi*x^2
So, Ratio = 3:7
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