area of rug = 1/2*9*12
let dimensions of rug are a &b, which are in the ration of the floor
=> a/9=b/12
=> a=3*b/4
area or rug = a*b=54
solve this u'll get long side =option D
Given a square with vertex ‘O’ and centre ‘C’, when rotated by 45degree with respect to vertex ‘O’ the centre is changed to ‘C1’.
Col A: Distance between centre’s ‘C’ & ‘C1’
Col B: {5*sqrt (2)}/2
oc= 5sqrt(2)/2
oc1= 5 sqrt(2)/2
angle coc1= 45
sin(45)= oc/cc1=1/sqrt(2)=> cc1=5
ColA > ColB
A crate measures 8 feet by 16 feet by 24 feet on the inside. A stone
pillar in the shape of a right circular cylinder must fit into the
crate for shipping so that it rests upright when the crate on at least
one of its six sides. what is the radius, in feet, of the pillar with
the largest volume that could still fit in the crate? (Contributed by:
EastHaven)
a) 4
b) 8
c) 12
d) 16
e) 24
??
Roy is now 4 years older than Erik and half of that amount older than
Iris. If in 2 years, Roy will be twice as old as Erik, then in 2 years
what would be Roy's age multiplied by Iris's age?
a) 8
b) 28
c) 48
d) 50
e) 52
??