InfyTQ Geometry Quiz 4

1dm=0.1m
Thus 19m2.5dm=19.25 & 12m5dm=12.5m
Area of path with overlapping = (19.25m X 2m) + (12.50m X 2m) = 63.5 m^{2}
Since area of path is overlapped which is shaded in below figure. So, subtract 2m x 2m =4 m^{2}
Hence, the actual area of path = (63.5 m^{2} – 4 m^{2}) = 59.5 m^{2}(Answer)

 



Video solution:

we know s=(a+b+c+)/2
here a=6cm, b=8cm , c=12cm
therefore s=(6+8+12)/2
=26/2
=13
area of tringle=sqrt [ s (s-a) (s-b) (s-c)
=sqrt [ 13* (13-6) *(13-8)* (13-12)
=sqrt [ 13*7*5*1]
=sqrt [455]
=21.33(ans) [Here sqrt stands for square root]

Video Explanation:

2(a+b) = 18
(a+b)=9
√ (a2 + b2 ) = √41
(a+b)2 = a2+b2 + 2ab
ab=20

Video Explanation:

Formula for rombus area is (diagonal 1 x diagonal 2)/2 thus

(8*10)/2 = 40 cm²

Video Explanation:

Side of a triangle are. 6, 10, x.
Area = 1/2 * 6 * 10 * sin∠BAC.
Area is maximum, when ∠BAC = 90◦
x = √(100+36) = √136
There is a more algebraic method using hero’s formula. Try that also.

The question is "Sides of a triangle are 6, 10 and x for what value of x is the area of the △ the maximum?"

Hence, the answer is None of these.

area of rectangular plot = 112*78
=8736 m²
it has gravel path so, length = 112-2.5-2.5
=107m
breath = 78-2.5-2.5=73m
l*b= 107*73
=7811m²
area of path = 8736-7811
=925 m^2

Video Explanation:

Volume of a sphere = (4/3) * pi * r3 --(1) ( here r =3cm)
Volume of circular plate of thickness 1 cm is = pi * r2 * h -- (2)
( here h=1cm that is thickness )
Equating (1) and (2)
r=6cm

Video Explanation:

2990.4 m
Solution: let a is side of square field then a2=31684
a=178
perimeter= 4 * a = 712
5% more than perimeter = 712 + 5% of 712 = 712 + 35.6 = 747.6
Because we enclose four times so 4 * 747.6 = 2990.4

volume of a hollow cylinder=pi*h*(R^2-r^2)
22/7*21m*(36-25)m^2
=66*11m3
=726 m^3

Video Explanation: